# Math Help - Help with integral

1. ## Help with integral

Can anyone help me find the integral of:

(cosx)^3 * (sinx)^2

thanks

2. Originally Posted by messianic
Can anyone help me find the integral of:

(cosx)^3 * (sinx)^2

thanks
Note that $\cos^3 x = \cos x \cos^2 x = \cos x (1 - \sin^2 x)$. Substitute this expression and then make the substitution $u = \sin x$.

If you need more help, please show all your work and say where you get stuck.

3. Thanks

Could you help me with another one?

How would I find the integral of: sin2x*cosx

or: sinx *cos2x

4. Originally Posted by messianic
Thanks

Could you help me with another one?

How would I find the integral of: sin2x*cosx

or: sinx *cos2x
$\sin (2x) \cos x = 2 \sin x \cos^2$ and substitute $u = \cos x$.

$\sin x \cos (2x) = \sin x (2 \cos^2 x - 1)$ and substitute $u = \cos x$.

Please start a new thread for any further new questions.