Can someone show me a step by step process, along with explanations on how to do this problem?

Question

Thank you. :)

Evaluate the integral ∫ [(x^2 - 1)/(x^2 + 1)]dx?

Answer 1

x - 2tan^-1(x) + c

Answer 2

Thank you. :)

I was wondering, did you break up the fractions and then integrate it?

Answer 3

that's correct. A simple division shows that

(x^2-1)/(x^2+1) = 1 - 2/(x^2+1)