Evaluate: `int(secx)/(secx+tanx)dxdot`

Explanation

Solution:

Solution:

`Rightarrow\int \frac{\sec x}{\sec x+\tan x} d x=\int \frac{\sec x(\sec x-\tan x)}{(\sec x+\tan x)(\sec x-\tan x)} d x`

`Rightarrow\int \frac{\sec ^{2} x-\sec x \tan x}{\sec ^{2} x-\tan ^{2} x} d x`

`Rightarrow\int \sec ^{2} x d x-\int \sec x \tan x d x `

`Rightarrow\tan x-\sec x+C`