# How do you solve this kind of problem?

• September 7th 2009, 04:52 AM
honestliar
How do you solve this kind of problem?
$\int(1-cos^{2}x)cos^{2}xsinx dx$

thanks
• September 7th 2009, 05:03 AM
mr fantastic
Quote:

Originally Posted by honestliar
$\int(1-cos^{2}x)cos^{2}xsinx dx$

thanks

Substitute u = cos x.
• September 7th 2009, 05:23 AM
honestliar
Quote:

Originally Posted by mr fantastic
Substitute u = cos x.

Can you please show it step by step?
Thanks
• September 7th 2009, 06:10 AM
HallsofIvy
What part can you not do for yourself? If u= cos x, what is du? Do you see how that helps?
• September 7th 2009, 06:22 AM
JML
hint: let u=cos(x) then $\frac{du}{dx} = -sin(x)$