Homework Help: Calc

Posted by Erica on Tuesday, October 18, 2011 at 9:02pm.

First make an appropriate substitution and then use integration by parts to evaluate the indefinite integrals:

∫ sinx cos³x e^(1-sin²x) 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, Tuesday, October 18, 2011 at 9:59pm
Isn't (1-sin²x)=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?

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