What is ∫tan^2 x dX ?

1 Answer
Jun 9, 2018

I=tan(x)-x+C

Explanation:

We want to solve

I=inttan^2(x)dx

Using the trig identity color(blue)(tan^2(x)=sec^2(x)-1

I=intsec^2(x)-1dx

Remember color(blue)((tan(x))'=sec^2(x), thus

I=tan(x)-x+C