AntiDerrivative of X^X?

That is X to the power of X.

My friend was actually asked this in a job interview..  not just for the answer but also how to find it.

>>7
wrong, try differentiating ln(x)*x^x + x^x, i assure you it is not x^x.

using mathematica's integrator, it says there probably is not an explicit formula.

I dunno, maybe find a power series expansion?