# Help with integral

1. Mar 9, 2012

### SoggyBottoms

I have the following integral, but I don't know how to solve it: $\int_{-n \pi /2}^{n \pi / 2} y^2[1 + \cos(2y)] dy$, with n = 1, 3, 5... Any ideas?

2. Mar 9, 2012

### 2slowtogofast

Could you distribute the y^2? The first term would just be integral of y^2 and the second you could use Int by parts twice.