How do you integrate:

$\displaystyle

\int \dfrac {1}{x^3-8}\,dx

$

I got it down to this but i totally stuck on how to integrate one of the improper fraction...

$\displaystyle

\dfrac{-1}{12}\int \dfrac {x+4}{x^2+2x+4}\,dx + \dfrac{1}{2}ln|x-2|

$

What do I do.....??