Integrate by parts e^(2x)*sin(e^x)dx?

Question

Integrate by parts: Integral of e^(2x)*sin(e^x)dx. Thanks!

Answer 1

haha. the answer is so long!

but don't worry-- i scanned it in for you.

Hope that it helps =)

http://i33.photobucket.com/albums/d87/ze...

Answer 2

put e^x = t

differentiate to get

e^x = dt/dx

so e^2x sin e^x dx = t sin t dt

now you can integrate t sin t as product of t and sin t

and proceed