i have to integrate e^(2x) * cos(3x) dx by parts.

so far, I have u = e^(2x), u' = 2e^(2x), v' = cos(3x), and v = 1/3 sin (3x)

This means that the integral of e^(2x) * cos(3x) dx is:

e^(2x) * 1/3 sin (3x) - the integral of 2e^(2x) * 1/3 sin(x)

I'm not exactly sure where to go from here, so any help would be appreciated!