Question

Evaluate: $\int {\sin }^{2}x\cos xdx$

Answer 1

$\int si{n}^{2}xcosxdx$

Let $sinx=t$

$cosxdx=dt$

$=\int t^{2}dt$

$=\frac{t^3}{3}+c$

$=\frac{si{n}^{3}x}{3}+c$

$\therefore \int si{n}^{2}xcosxdx=\frac{si{n}^{3}x}{3}+c$