# Integral - Double integral

1. Dec 6, 2005

Anybody know how to integrate over....

Z^2 = 4x^2 + y^2 with the plane z = 1 ?

this comes from my class notes... hmmm.. the proff did some thing really messy... or at least i wrote it messy...

but i got

0(integral)2pi 0(integral)1 z dz d(pheta)

which doesnt seem to make sense since its an Oval, not a circle.

what would be the limits in polar coords?

2. Dec 6, 2005

### James R

I'm not sure what you're trying to do.

Are you trying to find the area of the curve

$$4x^2 + y^2 = 1$$?

3. Dec 6, 2005