Solvable

[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?

[Ethereal]

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

[mathman]

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