Question

How do you integrate `int tan^2x`?

Answer 1

`int tan^2xdx=tanx-x+C`

Explanation:

use the identity `" "1+tan^2x=sec^2x`

`=>tan^2x=sec^2x-1`

`:.inttan^2xdx=int(sec^2x-1)dx`

`=tanx-x+C`