Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Possible Duplicate:
How to solve $\int x^xdx$

Indefinite integral $$\int x^x dx $$ knowing that $$x^x=e^{x \ln x}$$ and then using method of partial integration recursively I can get an infinite series. Does exist a closed form of this integral expressed in terms of elementary functions. I am interested also where appear this sort of integral.

share|improve this question
add comment

marked as duplicate by J. M., Gerry Myerson, leonbloy, Thomas Andrews, Zev Chonoles Jul 7 '12 at 15:48

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

1 Answer

The closed form for this integral doesn't exist. For proof, this would surely help: Proof that $\int x^x dx$ can't be done in terms of elementary functions?

share|improve this answer
add comment

Not the answer you're looking for? Browse other questions tagged or ask your own question.