# Homework Help: Change the integral limit

1. Mar 13, 2010

### hancock.yang@

1. The problem statement, all variables and given/known data
$$\int^{2\pi}_{0}cos^{2}(\theta)sin^{2}(\theta)cos(\theta)sin(\theta)d\theta$$
If I set x=cos$$^{2}$$($$\theta$$), the integral limit should be from 1 to 0 or need I break this integral into to 4 parts (i.e from 1 to 0 plus from 0 to 1 plus from 1 to 0 plus from 0 to 1)?

2. Relevant equations

3. The attempt at a solution

2. Mar 13, 2010

### jbunniii

Do you know any trig identities that can be used to express

$$\cos(\theta) \sin(\theta)$$

in another way?