MHB Integrating $\cos(mx)$ with Two Variables

[thereidisanceman]

$$\int x^2\cos(mx)\,dx$$

When integrating this by parts, the $x^2$ will become the $u$ and the $\cos(mx)\,dx$ will become $dv$.

How is the $\cos(mx)$ integrated if there are two variables?

 

[MarkFL]

You are integrating with respect to $x$, and unless $m$ is a function of $x$, then you treat it as a constant. :D