Question

How do you integrate `(tanx)^2`?

Answer 1

`tanx-x+C`.

Explanation:

We will use the Trigo. Identity `: sec^2x=tan^2x+1`.

Hence, `int(tanx)^2 dx=int tan^2xdx=int (sec^2x-1)dx`

`=int sec^2xdx-int 1 dx=tanx-x+C`.

Enjoy Maths.!