Solving the Integral of x/(x^3+1): Tips and Tricks

[alingy2]

This is really a tough problem.
I was able to solve it using partial fractions at first, completing the square, and several substitutions. I get the same answer as Wolfram Alpha.

I feel as though there is an easier way. Any hints?

 

[iRaid]

I don't think so, I'd probably start with a partial fraction decomposition too. Maybe there's some trick substitution someone will think of, but I don't see it.