Question

Integrate the given function w.r.t. respective variable : tan² x

Answer 1

this is the answer of the integrated function of tan^2x

Answer 2

Answer:

$\int tan^{2}\:x\:dx=tan\:x-x+C$

Step-by-step explanation:

We know that before integrating any function ,we must convert it into integrable form.

As we know that

 $1+tan^{2}x=sec^{2}x \\ \\ tan^{2}x=sec^{2}x-1$

Now we can integrate it

$\int tan^{2}\:x\:dx\\ \\ \\ = \int\:sec^{2}x-1\:dx\\ \\ \\ =\int\:sec^{2}x\:dx-\int\:1\:dx\\\\=tan\:x-x+C$