Is there a closed form for $\int x^n e^{cx}\,\mathrm dx$? Wikipedia gives this evaluation:
$$ \int x^ne^{cx}\,\mathrm dx=\frac1cx^ne^{cx}-\frac nc\int x^{n-1}e^{cx}\,\mathrm dx=\left(\frac{\partial}{\partial c}\right)^n\frac{e^{cx}}{c}$$
But I have no idea how I should exactly understand the partial part: $\left(\frac{\partial}{\partial c}\right)\frac{e^{cx}}{c}$
EDIT
Thanks for your responses so far. I should add that $n$ is not necessarily an integer. Can be for example $n = 1.2$.
I'll see how far I get on learning about fractional derivatives.

It is the (n-fold because of the exponent) derivative of $\frac{e^{cx}}{c}$ with respect to $c$, considering $x$ to be fixed.  So for $n=1$ it is $\frac{c^2e^{cx}-e^{cx}}{c^2}$
