Use one of the reduction formulas shown to the right (which are valid for $a \neq 0$) to evaluate the integral below.
$\int x^5 e^{5x} dx$
$\int x^5 e^{5x} dx = \square$
$\int x^n e^{ax} dx = \frac{x^n e^{ax}}{a} - \frac{n}{a} \int x^{n-1} e^{ax} dx$
$\int x^n \cos ax \, dx = \frac{x^n \sin ax}{a} - \frac{n}{a} \int x^{n-1} \sin ax \, dx$
$\int x^n \sin ax \, dx = -\frac{x^n \cos ax}{a} + \frac{n}{a} \int x^{n-1} \cos ax \, dx$
$\int \ln^n x \, dx = x \ln^n x - n \int \ln^{n-1} x \, dx$
