There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ln(t){sin(t)}^{2}dt\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = dtln(t)sin^{2}(t)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( dtln(t)sin^{2}(t)\right)}{dt}\\=&dln(t)sin^{2}(t) + \frac{dtsin^{2}(t)}{(t)} + dtln(t)*2sin(t)cos(t)\\=&dln(t)sin^{2}(t) + dsin^{2}(t) + 2dtln(t)sin(t)cos(t)\\ \end{split}\end{equation} \]

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