∫ cos ( x ) sin 2 ( x ) d x {\displaystyle \int {\frac {\cos {(x)}}{\sin ^{2}{(x)}}}dx}
u = sin ( x ) d u = cos ( x ) d x {\displaystyle {\begin{aligned}u&=\sin {(x)}\\[2ex]du&=\cos {(x)}dx\end{aligned}}}