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**Sucker Punch** I'm not sure how to approach this...

$\displaystyle \int e^{2x}sin(3x)$

I don't know where to start. This is on an assignment largely based on integration by parts, but I can't figure out what to do. If I do integration by parts, I still have to integrate

$\displaystyle \int e^{2x}cos(3x)$

so I'm not getting any closer to an answer.

Using online solving tools either gets me no answer, or something like this;

$\displaystyle \dfrac{e^{2x}(2sin(3x) - 3cos(3x))}{13}$

But it isn't much of a hint. Can someone point me in the right direction?