How can I solve this indefinite integral for an arbitrary integer $n>0$?
$ \int{x^n e^x dx}$
I could partially integrate it for small $n$, but that's not really a solution.
Edit: (TB) This question is closely related to: Is there a closed form solution for $\int x^n e^{cx}$?, but it is more elementary, because $n$ is an integer here.