Question

Solve $\int \frac{{\sec }^{2}x}{\cos e{c}^{2}x}dx$

Answer 1

$\int \frac{{\sec }^{2}x}{\cos e{c}^{2}x}dx$

$=\int {\tan }^{2}xdx$

$=\int \left({\sec }^{2}x-1\right)dx$

$=\tan x-x+C$