Question

Solve:
$\int \frac{dx}{\sin x{\cos }^{2}x}$

Answer 1

$\int \frac{1}{sinxco{s}^{2}x}dx$ we know $si{n}^{2}x+co{s}^{2}x=1$

$\int \frac{si{n}^2+co{s}^{2}x}{sinxco{s}^{2}x}dx=\int tanx.secxdx+\int cosecx.dx$

$secx+log|cosecx-cotx|+c$