Question

ahhh! this integral seems to go on forever!
Integrate: e^xsinxdx

Answer 1

\[\int\limits_{}^{} e ^{x}\sin(x)dx\]

Answer 2

after your second integration by parts, you'll something like:
∫e^x sinx dx = something - ∫e^x sinx dx

just add ∫e^x sinx dx for both sides, then isolate ∫e^x sinx dx