Solvable with out approximation?

1. Sep 8, 2004

JonF

Is there any way to tell in general if an integral in the form of $$\int x^n*e^{x^m} dx$$ where n and m are constants is solvable with out approximation?

2. Sep 8, 2004

Ethereal

I can't offer you a blinding flash of insight, but if n=m-1, it should be solvable.

3. Sep 8, 2004

mathman

In general, the answer is no for m>1 (except for n=km-1, for arbitrary positive integer k).

Last edited: Sep 8, 2004