本次共计算 1 个题目：每一题对 x 求 4 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数\frac{45sqrt(arccos(1 - \frac{x}{45}) + \frac{sin(2arccos(1 - \frac{x}{45}))}{2})}{sqrt(x)} 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = \frac{45sqrt(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))}{sqrt(x)}\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( \frac{45sqrt(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))}{sqrt(x)}\right)}{dx}\\=&\frac{45((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))*\frac{1}{2}}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{45sqrt(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))*-\frac{1}{2}}{(x)(x)^{\frac{1}{2}}}\\=&\frac{1}{2(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{2(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{45sqrt(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))}{2x^{\frac{3}{2}}}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{1}{2(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{2(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{45sqrt(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))}{2x^{\frac{3}{2}}}\right)}{dx}\\=&\frac{(\frac{\frac{-1}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}})}{2(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})}{2(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}sqrt(x)} + \frac{-\frac{1}{2}}{2(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-1}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}})cos(2arccos(\frac{-1}{45}x + 1))}{2(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})cos(2arccos(\frac{-1}{45}x + 1))}{2(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}sqrt(x)} + \frac{-sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{2(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{cos(2arccos(\frac{-1}{45}x + 1))*-\frac{1}{2}}{2(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} - \frac{45*\frac{-3}{2}sqrt(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))}{2x^{\frac{5}{2}}} - \frac{45((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))*\frac{1}{2}}{2x^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}}\\=&\frac{x}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{1}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{1}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{90(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)sqrt(x)} + \frac{xcos(2arccos(\frac{-1}{45}x + 1))}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{4(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)sqrt(x)} - \frac{sin(2arccos(\frac{-1}{45}x + 1))}{45(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{135sqrt(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))}{4x^{\frac{5}{2}}} - \frac{1}{4(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{1}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{x}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{1}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{1}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{90(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)sqrt(x)} + \frac{xcos(2arccos(\frac{-1}{45}x + 1))}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{4(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)sqrt(x)} - \frac{sin(2arccos(\frac{-1}{45}x + 1))}{45(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{135sqrt(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))}{4x^{\frac{5}{2}}} - \frac{1}{4(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{1}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}}\right)}{dx}\\=&\frac{(\frac{\frac{-3}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}})x}{4050(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})x}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{1}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{x*-\frac{1}{2}}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}})}{90(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} - \frac{-\frac{1}{2}}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}})}{180(\frac{-1}{2025}x^{2} + \frac{2}{45}x)sqrt(x)} - \frac{(\frac{-(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}})}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{-\frac{1}{2}}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(x)(x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}})cos(2arccos(\frac{-1}{45}x + 1))}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)sqrt(x)} - \frac{(\frac{-(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}})cos(2arccos(\frac{-1}{45}x + 1))}{90(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{-sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{90(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))*-\frac{1}{2}}{90(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(x)(x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-3}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}})xcos(2arccos(\frac{-1}{45}x + 1))}{4050(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})xcos(2arccos(\frac{-1}{45}x + 1))}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{x*-sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{xcos(2arccos(\frac{-1}{45}x + 1))*-\frac{1}{2}}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})cos(2arccos(\frac{-1}{45}x + 1))}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{(\frac{\frac{-1}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}})cos(2arccos(\frac{-1}{45}x + 1))}{4(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{\frac{-3}{2}cos(2arccos(\frac{-1}{45}x + 1))}{4(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{5}{2}}} - \frac{-sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{4(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{(\frac{\frac{-3}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}})cos(2arccos(\frac{-1}{45}x + 1))}{90(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})cos(2arccos(\frac{-1}{45}x + 1))}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} - \frac{-sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))*-\frac{1}{2}}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}})cos^{2}(2arccos(\frac{-1}{45}x + 1))}{180(\frac{-1}{2025}x^{2} + \frac{2}{45}x)sqrt(x)} - \frac{(\frac{-(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}})cos^{2}(2arccos(\frac{-1}{45}x + 1))}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{-2cos(2arccos(\frac{-1}{45}x + 1))sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)sqrt(x)} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))*-\frac{1}{2}}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(x)(x)^{\frac{1}{2}}} - \frac{(\frac{-(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}})sin(2arccos(\frac{-1}{45}x + 1))}{45(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})sin(2arccos(\frac{-1}{45}x + 1))}{45(\frac{-1}{2025}x^{2} + \frac{2}{45}x)sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{45(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{sin(2arccos(\frac{-1}{45}x + 1))*-\frac{1}{2}}{45(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-1}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}})cos(2arccos(\frac{-1}{45}x + 1))}{4(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})cos(2arccos(\frac{-1}{45}x + 1))}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{\frac{-3}{2}cos(2arccos(\frac{-1}{45}x + 1))}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{5}{2}}} - \frac{-sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{135*\frac{-5}{2}sqrt(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))}{4x^{\frac{7}{2}}} + \frac{135((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))*\frac{1}{2}}{4x^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}} - \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{(\frac{\frac{-1}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}})}{4(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{\frac{-3}{2}}{4(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{5}{2}}} - \frac{(\frac{\frac{-1}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}})}{4(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{\frac{-3}{2}}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{5}{2}}}\\=&\frac{x^{2}}{2733750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{x}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{x}{364500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{xcos(2arccos(\frac{-1}{45}x + 1))}{182250(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{1}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{xcos(2arccos(\frac{-1}{45}x + 1))}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{1}{1350(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{1}{8100(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{4050(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{1}{5400(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{1800(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} - \frac{x}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{1}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{xcos(2arccos(\frac{-1}{45}x + 1))}{91125(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{1800(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{x^{2}cos(2arccos(\frac{-1}{45}x + 1))}{2733750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{2025(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{sin(2arccos(\frac{-1}{45}x + 1))}{2025(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{xcos^{2}(2arccos(\frac{-1}{45}x + 1))}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{xcos^{2}(2arccos(\frac{-1}{45}x + 1))}{364500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{360(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{8100(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{1}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{1350(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{xsin(2arccos(\frac{-1}{45}x + 1))}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{1}{2}}} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{3}{2}}} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{180(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{3cos(2arccos(\frac{-1}{45}x + 1))}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{sin(2arccos(\frac{-1}{45}x + 1))}{45(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{1350(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{8100(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{sin(2arccos(\frac{-1}{45}x + 1))}{675(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{cos^{3}(2arccos(\frac{-1}{45}x + 1))}{5400(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{sin(2arccos(\frac{-1}{45}x + 1))cos(2arccos(\frac{-1}{45}x + 1))}{2025(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{sin(2arccos(\frac{-1}{45}x + 1))}{90(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{3}{2}}} + \frac{sin(2arccos(\frac{-1}{45}x + 1))}{4050(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{sin(2arccos(\frac{-1}{45}x + 1))cos(2arccos(\frac{-1}{45}x + 1))}{4050(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{3cos(2arccos(\frac{-1}{45}x + 1))}{8(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{90(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{3}{2}}} - \frac{1}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{1}{2}}} - \frac{675sqrt(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))}{8x^{\frac{7}{2}}} + \frac{1}{360(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{3}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{1}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{1}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{1}{8100(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{1}{2}}} + \frac{1}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{3}{2}}} + \frac{3}{8(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{5}{2}}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{x^{2}}{2733750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{x}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{x}{364500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{xcos(2arccos(\frac{-1}{45}x + 1))}{182250(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{1}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{xcos(2arccos(\frac{-1}{45}x + 1))}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{1}{1350(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{1}{8100(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{4050(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{1}{5400(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{1800(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} - \frac{x}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{1}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{xcos(2arccos(\frac{-1}{45}x + 1))}{91125(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{1800(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{x^{2}cos(2arccos(\frac{-1}{45}x + 1))}{2733750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{2025(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{sin(2arccos(\frac{-1}{45}x + 1))}{2025(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{xcos^{2}(2arccos(\frac{-1}{45}x + 1))}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{xcos^{2}(2arccos(\frac{-1}{45}x + 1))}{364500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{360(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{8100(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{1}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{1350(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{xsin(2arccos(\frac{-1}{45}x + 1))}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{1}{2}}} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{3}{2}}} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{180(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{3cos(2arccos(\frac{-1}{45}x + 1))}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{sin(2arccos(\frac{-1}{45}x + 1))}{45(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{1350(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{8100(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{sin(2arccos(\frac{-1}{45}x + 1))}{675(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{cos^{3}(2arccos(\frac{-1}{45}x + 1))}{5400(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{sin(2arccos(\frac{-1}{45}x + 1))cos(2arccos(\frac{-1}{45}x + 1))}{2025(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{sin(2arccos(\frac{-1}{45}x + 1))}{90(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{3}{2}}} + \frac{sin(2arccos(\frac{-1}{45}x + 1))}{4050(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{sin(2arccos(\frac{-1}{45}x + 1))cos(2arccos(\frac{-1}{45}x + 1))}{4050(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{3cos(2arccos(\frac{-1}{45}x + 1))}{8(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{90(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{3}{2}}} - \frac{1}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{1}{2}}} - \frac{675sqrt(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))}{8x^{\frac{7}{2}}} + \frac{1}{360(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{3}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{1}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{1}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{1}{8100(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{1}{2}}} + \frac{1}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{3}{2}}} + \frac{3}{8(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{5}{2}}}\right)}{dx}\\=&\frac{(\frac{\frac{-5}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{7}{2}}})x^{2}}{2733750(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})x^{2}}{2733750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} + \frac{2x}{2733750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{x^{2}*-\frac{1}{2}}{2733750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-5}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{7}{2}}})x}{30375(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})x}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} - \frac{1}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{x*-\frac{1}{2}}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}})x}{364500(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{(\frac{-2(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}})x}{364500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{1}{364500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{x*-\frac{1}{2}}{364500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(x)(x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}})xcos(2arccos(\frac{-1}{45}x + 1))}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{(\frac{-2(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}})xcos(2arccos(\frac{-1}{45}x + 1))}{182250(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{182250(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{x*-sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{182250(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{xcos(2arccos(\frac{-1}{45}x + 1))*-\frac{1}{2}}{182250(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(x)(x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-3}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}})}{4050(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{-\frac{1}{2}}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-5}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{7}{2}}})xcos(2arccos(\frac{-1}{45}x + 1))}{30375(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})xcos(2arccos(\frac{-1}{45}x + 1))}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{x*-sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{xcos(2arccos(\frac{-1}{45}x + 1))*-\frac{1}{2}}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-5}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{7}{2}}})}{1350(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})}{1350(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} + \frac{-\frac{1}{2}}{1350(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}})}{8100(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{(\frac{-2(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}})}{8100(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{-\frac{1}{2}}{8100(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(x)(x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}})cos(2arccos(\frac{-1}{45}x + 1))}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{(\frac{-2(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}})cos(2arccos(\frac{-1}{45}x + 1))}{4050(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{-sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - 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\frac{(\frac{-2(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}})x}{182250(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}})x}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{1}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{x*-\frac{1}{2}}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(x)(x)^{\frac{1}{2}}} + \frac{(\frac{-2(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}})}{4050(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - 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(\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{1800(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))*-\frac{1}{2}}{1800(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(x)(x)^{\frac{1}{2}}} + \frac{(\frac{\frac{-5}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{7}{2}}})x^{2}cos(2arccos(\frac{-1}{45}x + 1))}{2733750(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})x^{2}cos(2arccos(\frac{-1}{45}x + 1))}{2733750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} + \frac{2xcos(2arccos(\frac{-1}{45}x + 1))}{2733750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{x^{2}*-sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{2733750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{x^{2}cos(2arccos(\frac{-1}{45}x + 1))*-\frac{1}{2}}{2733750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} + \frac{(\frac{-2(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}})cos(2arccos(\frac{-1}{45}x + 1))}{2025(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}})cos(2arccos(\frac{-1}{45}x + 1))}{2025(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{-sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - 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\frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{x*-2cos(2arccos(\frac{-1}{45}x + 1))sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{xcos^{2}(2arccos(\frac{-1}{45}x + 1))*-\frac{1}{2}}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(x)(x)^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}})xcos^{2}(2arccos(\frac{-1}{45}x + 1))}{364500(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{(\frac{-2(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}})xcos^{2}(2arccos(\frac{-1}{45}x + 1))}{364500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{364500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{x*-2cos(2arccos(\frac{-1}{45}x + 1))sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{364500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{xcos^{2}(2arccos(\frac{-1}{45}x + 1))*-\frac{1}{2}}{364500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(x)(x)^{\frac{1}{2}}} + \frac{(\frac{-(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}})cos^{2}(2arccos(\frac{-1}{45}x + 1))}{360(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - 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\frac{(\frac{\frac{-3}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}})cos(2arccos(\frac{-1}{45}x + 1))}{1350(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})cos(2arccos(\frac{-1}{45}x + 1))}{1350(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}sqrt(x)} - \frac{-sin(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{1350(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))*-\frac{1}{2}}{1350(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(x)(x)^{\frac{1}{2}}} - 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(\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})})}{90(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{3}{2}}} - \frac{(\frac{\frac{-3}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}})}{4050(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{1}{2}}} - \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{1}{2}}} - \frac{\frac{-1}{2}}{4050(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{675*\frac{-7}{2}sqrt(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))}{8x^{\frac{9}{2}}} - \frac{675((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))*\frac{1}{2}}{8x^{\frac{7}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}} + \frac{(\frac{-(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}})}{360(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}})}{360(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{3}{2}}} + \frac{\frac{-3}{2}}{360(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{5}{2}}} + \frac{3(\frac{\frac{-1}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}})}{4(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{3(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{3*\frac{-5}{2}}{4(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{7}{2}}} + \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})}{180(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{(\frac{\frac{-3}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}})}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{\frac{-3}{2}}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{5}{2}}} + \frac{(\frac{\frac{-3}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}})}{90(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{\frac{-3}{2}}{90(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{5}{2}}} - \frac{(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})}{8100(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{1}{2}}} - \frac{(\frac{\frac{-3}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}})}{8100(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{1}{2}}} - \frac{\frac{-1}{2}}{8100(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{(\frac{\frac{-3}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}})}{180(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{3}{2}}} + \frac{(\frac{-(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}})}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{\frac{-3}{2}}{180(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{5}{2}}} + \frac{3(\frac{\frac{-1}{2}((\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}) + \frac{1}{2}cos(2arccos(\frac{-1}{45}x + 1))*2(\frac{-(\frac{-1}{45} + 0)}{((1 - (\frac{-1}{45}x + 1)^{2})^{\frac{1}{2}})}))}{(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}})}{8(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{3(\frac{\frac{-1}{2}(\frac{-1}{2025}*2x + \frac{2}{45})}{(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}})}{8(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{3*\frac{-5}{2}}{8(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{7}{2}}}\\=&\frac{x^{3}}{1107168750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{7}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{x^{2}}{8201250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{7}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{x^{2}}{246037500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}sqrt(x)} - \frac{x^{2}cos(2arccos(\frac{-1}{45}x + 1))}{123018750(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}sqrt(x)} + \frac{x}{1366875(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} + \frac{xcos(2arccos(\frac{-1}{45}x + 1))}{1366875(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}sqrt(x)} + \frac{x}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{7}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{x}{2733750(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}sqrt(x)} - \frac{1}{20250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{xcos(2arccos(\frac{-1}{45}x + 1))}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{7}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{x}{10935000(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} + \frac{xcos(2arccos(\frac{-1}{45}x + 1))}{3645000(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} - \frac{x^{2}}{61509375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{2x}{1366875(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{1}{182250(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{xcos^{2}(2arccos(\frac{-1}{45}x + 1))}{2733750(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}sqrt(x)} + \frac{xcos^{2}(2arccos(\frac{-1}{45}x + 1))}{3645000(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} - \frac{2x^{2}cos(2arccos(\frac{-1}{45}x + 1))}{61509375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{4xcos(2arccos(\frac{-1}{45}x + 1))}{1366875(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{xsin(2arccos(\frac{-1}{45}x + 1))}{455625(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{xcos(2arccos(\frac{-1}{45}x + 1))}{729000(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}sqrt(x)} + \frac{x}{2733750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{x^{2}cos(2arccos(\frac{-1}{45}x + 1))}{8201250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{7}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{xcos^{2}(2arccos(\frac{-1}{45}x + 1))}{729000(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}sqrt(x)} - \frac{x^{2}cos^{2}(2arccos(\frac{-1}{45}x + 1))}{246037500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}sqrt(x)} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{12150(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{2xsin(2arccos(\frac{-1}{45}x + 1))}{273375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{1}{12150(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{7}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{1}{121500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{60750(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}sqrt(x)} - \frac{1}{243000(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{81000(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} - \frac{1}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{xcos^{3}(2arccos(\frac{-1}{45}x + 1))}{2187000(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}sqrt(x)} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{81000(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} - \frac{2cos(2arccos(\frac{-1}{45}x + 1))}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{sin(2arccos(\frac{-1}{45}x + 1))}{10125(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{xsin(2arccos(\frac{-1}{45}x + 1))cos(2arccos(\frac{-1}{45}x + 1))}{455625(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{1}{97200(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{7}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{24300(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{7}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{x}{2187000(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}sqrt(x)} - \frac{1}{48600(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}sqrt(x)} - \frac{7xcos(2arccos(\frac{-1}{45}x + 1))}{2733750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{16200(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{7}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{16200(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}sqrt(x)} - \frac{sin(2arccos(\frac{-1}{45}x + 1))}{40500(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}sqrt(x)} + \frac{xcos^{3}(2arccos(\frac{-1}{45}x + 1))}{10935000(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} - \frac{1}{182250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{x^{3}cos(2arccos(\frac{-1}{45}x + 1))}{1107168750(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{7}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{2cos(2arccos(\frac{-1}{45}x + 1))}{91125(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{xcos(2arccos(\frac{-1}{45}x + 1))}{1366875(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} - \frac{cos^{3}(2arccos(\frac{-1}{45}x + 1))}{24300(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{7}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{x^{2}cos^{2}(2arccos(\frac{-1}{45}x + 1))}{61509375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{16200(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}sqrt(x)} - \frac{sin(2arccos(\frac{-1}{45}x + 1))cos(2arccos(\frac{-1}{45}x + 1))}{20250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}sqrt(x)} + \frac{2xcos^{2}(2arccos(\frac{-1}{45}x + 1))}{1366875(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{145800(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}x^{\frac{1}{2}}} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{1200(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{3240(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}x^{\frac{3}{2}}} - \frac{x^{2}sin(2arccos(\frac{-1}{45}x + 1))}{12301875(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{2700(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}x^{\frac{3}{2}}} + \frac{7cos^{2}(2arccos(\frac{-1}{45}x + 1))}{729000(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{1}{2}}} - \frac{sin(2arccos(\frac{-1}{45}x + 1))}{40500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{sin(2arccos(\frac{-1}{45}x + 1))cos(2arccos(\frac{-1}{45}x + 1))}{20250(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{x^{\frac{1}{2}}cos(2arccos(\frac{-1}{45}x + 1))}{1822500(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{2025(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{3600(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}x^{\frac{3}{2}}} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{36450(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{60(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{5}{2}}} - \frac{cos^{3}(2arccos(\frac{-1}{45}x + 1))}{3600(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{182250(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{20250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{1}{2}}} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{72900(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}x^{\frac{1}{2}}} - \frac{7cos(2arccos(\frac{-1}{45}x + 1))}{8100(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{7sin(2arccos(\frac{-1}{45}x + 1))cos(2arccos(\frac{-1}{45}x + 1))}{8100(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{3600(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}x^{\frac{3}{2}}} - \frac{cos^{3}(2arccos(\frac{-1}{45}x + 1))}{10800(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}x^{\frac{3}{2}}} + \frac{17cos(2arccos(\frac{-1}{45}x + 1))}{8100(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{sin(2arccos(\frac{-1}{45}x + 1))cos(2arccos(\frac{-1}{45}x + 1))}{1620(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{900(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{1620(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}x^{\frac{3}{2}}} - \frac{7cos^{2}(2arccos(\frac{-1}{45}x + 1))}{16200(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{120(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{5}{2}}} + \frac{sin(2arccos(\frac{-1}{45}x + 1))}{20250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{1}{2}}} + \frac{7cos(2arccos(\frac{-1}{45}x + 1))}{364500(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{1}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{30(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{5}{2}}} - \frac{sin(2arccos(\frac{-1}{45}x + 1))}{450(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{60(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{5}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{1200(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{30(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{5}{2}}} - \frac{7sin(2arccos(\frac{-1}{45}x + 1))}{8100(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{x^{\frac{1}{2}}cos(2arccos(\frac{-1}{45}x + 1))}{5467500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}} - \frac{15cos(2arccos(\frac{-1}{45}x + 1))}{8(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{sin(2arccos(\frac{-1}{45}x + 1))}{15(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{5}{2}}} - \frac{sin(2arccos(\frac{-1}{45}x + 1))}{1620(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} + \frac{sin(2arccos(\frac{-1}{45}x + 1))}{60750(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}x^{\frac{1}{2}}} - \frac{sin(2arccos(\frac{-1}{45}x + 1))}{1350(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}x^{\frac{3}{2}}} - \frac{sin(2arccos(\frac{-1}{45}x + 1))}{30(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{5}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{12150(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{7}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{121500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}sqrt(x)} - \frac{sin(2arccos(\frac{-1}{45}x + 1))}{6075(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}sqrt(x)} + \frac{cos(2arccos(\frac{-1}{45}x + 1))}{60750(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}x^{\frac{1}{2}}} - \frac{cos^{3}(2arccos(\frac{-1}{45}x + 1))}{243000(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}sqrt(x)} - \frac{cos^{2}(2arccos(\frac{-1}{45}x + 1))}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{3}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{sin(2arccos(\frac{-1}{45}x + 1))cos(2arccos(\frac{-1}{45}x + 1))}{10125(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{cos^{4}(2arccos(\frac{-1}{45}x + 1))}{97200(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{7}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{cos^{3}(2arccos(\frac{-1}{45}x + 1))}{48600(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}sqrt(x)} - \frac{sin(2arccos(\frac{-1}{45}x + 1))cos^{2}(2arccos(\frac{-1}{45}x + 1))}{40500(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}sqrt(x)} - \frac{sin(2arccos(\frac{-1}{45}x + 1))cos^{2}(2arccos(\frac{-1}{45}x + 1))}{40500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}sqrt(x)} - \frac{sin^{2}(2arccos(\frac{-1}{45}x + 1))}{30375(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}sqrt(x)} - \frac{15cos(2arccos(\frac{-1}{45}x + 1))}{8(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{cos(2arccos(\frac{-1}{45}x + 1))}{60(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{5}{2}}} - \frac{x^{\frac{1}{2}}}{1822500(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}} + \frac{7}{729000(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{1}{2}}} + \frac{1}{1620(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{1}{20250(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{1}{2}}} + \frac{4725sqrt(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))}{16x^{\frac{9}{2}}} - \frac{15}{8(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{1}{60(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)x^{\frac{5}{2}}} - \frac{1}{2700(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}x^{\frac{3}{2}}} - \frac{1}{30(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{5}{2}}} + \frac{1}{145800(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}x^{\frac{1}{2}}} - \frac{15}{8(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{1}{2}}x^{\frac{7}{2}}} - \frac{1}{3240(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}x^{\frac{3}{2}}} - \frac{1}{10800(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}x^{\frac{3}{2}}} - \frac{1}{900(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}x^{\frac{3}{2}}} + \frac{1}{60750(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}x^{\frac{1}{2}}} - \frac{7}{16200(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{2}(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{1}{60(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{5}{2}}} - \frac{x^{\frac{1}{2}}}{5467500(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{1}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{5}{2}}} - \frac{1}{3600(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{5}{2}}(\frac{-1}{2025}x^{2} + \frac{2}{45}x)^{\frac{3}{2}}x^{\frac{3}{2}}} - \frac{1}{120(\frac{-1}{2025}x^{2} + \frac{2}{45}x)(arccos(\frac{-1}{45}x + 1) + \frac{1}{2}sin(2arccos(\frac{-1}{45}x + 1)))^{\frac{3}{2}}x^{\frac{5}{2}}}\\ \end{split}\end{equation} \]

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