# Homework Help: How to evaluate this double integral?

1. Dec 19, 2011

### Kuma

1. The problem statement, all variables and given/known data

∫0 to 2 ∫x/4 to 1/2 (sin (pi*y2)) dy dx

2. Relevant equations

3. The attempt at a solution

I think I have to convert this to polar or do some sort of change of variable.

Although in polar y = r sin θ, so then you would have sin of a sin??

2. Dec 19, 2011

Try drawing the region and switching the order of integration, and this might allow you to use substitution rule hopefully, as I believe you will get something of the form $\int y*\sin(\pi y^2) dy$