Question

Solve : $\int \frac{{\sec }^{2}x}{\tan x}dx$

Answer 1

$\int \frac{{\sec }^{2}x}{\tan x}dx$

Let $t=\tan x⟹dt={\sec }^{2}xdx$

$\int \frac{1}{t}dt$

$=\log t$

$⟹\int \frac{{\sec }^{2}x}{\tan x}dx=\log \tan x+c$