Integrate -cos^2x sinx: Need Help!

[asdf1]

in calculating a question, I'm stuck on how to integrate this:
\int_{0}^{2pi} -(cos^2 x)(sinx) dx

could someone help?

 

[matt grime]

integrate the following family of functions

f'(x)f(x)^n

 

[HallsofIvy]

There is a standard technique for integrals involving an odd power of sine or cosine. That is what Matt is talking about. Check your textbook for that.

 

[matt grime]

it wasn't what i was knowingly talking about, i was just pointing out in fact that integrating that is not a 'trig' problem, and belongs to a far more generic type of integral.

 

[asdf1]

thank you! :)