What is the integral of x^2/(x^4-6x^2-27) dx

Question

I got an answer but I want to make sure it is correct. Thank you for who can help me.

Answer 1

I get this expression for the antiderivative:

(1/8)(ln|x-3| - ln|x+3|) + (sqrt(3)/12)tan^-1(x/sqrt(3))

 

I worked it kind of quickly, so I may have missed a constant. The general expression is right.

 

I hope this helps.