# Going further with integration by parts. Don't know whether to proceed further or not

by Ein Krieger
Tags: integration, parts, proceed
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,568 Going further with integration by parts. Don't know whether to proceed further or not If you have $\int x^n f(x)dx$, where "f" is easy to integrate any number of times (and the "nth" integral of $e^{3x}$ is $(1/3^n)e^{3x}$), just continue taking $u= x^n$, $dv= f(x)dx$. Everytime du will have x to a lower power until, eventually, it is just $x^0= 1$.