Posted by Erica on .
First make an appropriate substitution and then use integration by parts to evaluate the indefinite integrals:
∫ sinx cos³x e^(1sin²x) dx
I was going to substitute u= 1  sin²x, but then i got du = ½ sinxcosx  ½ xdx, so im stuck.
Thank you so much!!

Calc 
MathMate,
Isn't (1sin²x)=cos²x?
You will end up with an expression containing cos(x) and ONE sin(x).
Try u=cos(x), du=d(cos(x))=sin(x)dx
Do you see the light?