Question

Evaluate : $\int \frac{\sin x}{{\cos }^{3}x}dx$

Answer 1

$\int \frac{sinx}{{\cos }^{3}x}dx$

$=\int tanx{\sec }^{2}xdx$

$=\frac{1}{2}\int 2{\sec }^{2}xtanxdx$

$=\frac{1}{2}{\sec }^{2}x+c$