# Math Help - Greens theorem limits

1. ## Greens theorem limits

What are the limits of integration where C is $\frac{1}{2 }{x}^{ 2} + \frac{1}{4 }{y}^{ 2} = 1$ taken anti-clockwise

Thanks

2. Switch to polar coordinates.

The new area you get is obviously the unit circle which you should know the limits for.

3. Originally Posted by Mondreus
Switch to polar coordinates.

The new area you get is obviously the unit circle which you should know the limits for.
dq/dx - dp/dy = y-8

$y = 2r\sin \theta \iint 2{r}^{2 } sin\theta -8r dr d\theta$where r is between 1 and 0 and \theta is between 2\pi and 0

Is that right?

4. Almost, but the Jacobian is wrong.