Subject: calculus

Name: Jeremy

Who is asking: Student
Level: Secondary

Question:
I am a student at the University of Kansas and I am wondering if there is a general anti-derivative for x ^x (i.e. the integral of x ^x dx)? I've looked in a bunch of Table of Integrals and have found nothing (can you guys find it?), so I'm sort of wondering if this may be a research type question.

Thanks!

Jeremy

I tried it in Mathematica's "The Integrator" http://integrals.wolfram.com/index.en.cgi; my input was Exp[x*Log[x]] and the output was "integral of x^x" which means that there is no better way to express the answer, without using infinite series or something like that.