Question

$\int x^2\sin x^{3}dx=?$

Answer 1

$\begin{array}{c}\int x^2{\sin }^{3}xdx\\ \int x^2\sin x^{3}dx\\ let{x}^3=t\\ 3x^{2}dx=dt\\ x^{2}dx=\frac{1}{3}dt\\ \frac{1}{3}\int \sin tdt\\ \frac{1}{3}\left(-\cos t\right)\\ -\frac{1}{3}\cos x^3+c\end{array}$