how can you calculate integral of x^x?

1 ⤊

how can you calculate integral of x^x?

Explain the method hence find definite integral with limit 1 to 2.

2007-10-23 02:58:20 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

It is not integrable. Every function is not integrable.

2007-10-23 03:11:27 · answer #1 · answered by Madhukar 7 · 0⤊ 1⤋

This integral is not expressible in terms of elementary
functions. You need to express the integrand
as e^(x ln x), expand this in a power series and
integrate it term by term.
This is a frequently asked question in this forum.
I've always wondered how to evaluate the integral
in terms of Lambert's W function, the inverse
function of xe^x.

2007-10-23 11:20:45 · answer #2 · answered by steiner1745 7 · 1⤊ 0⤋

http://integrals.wolfram.com/index.jsp

2007-10-23 10:22:14 · answer #3 · answered by Snow 1 · 0⤊ 0⤋