I cannot do this problem:

∫e^{2x}sin3xdx

It is part of the homework for "integration by parts" assigned by my professor that is due tomorrow, but I'm wondering if she mistakenly assigned it. There is a note in the textbook for this problem that says graphing calculator required and we don't use calculators. Is it possible to work this one out without a calculator in less than a million steps? Am I doing something wrong?