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## Homework Statement

Find the surface area of the ellipsoid (x/a)^2 + (y/a)^2 + (z/b)^2 = 1.

## Homework Equations

If

**G**(u,v) is a map from R2 to R3 that parametrizes the surface, then the area of the surface is equal to the double integral over the domain of

**G**of the norm of the cross product of ∂

_{u}

**G**and ∂

_{v}

**G**.

## The Attempt at a Solution

Well, I can see that we can parametrize the surface with a

**G**whose domain is the circle x^2 + y^2 = a^2. I've tried using polar coordinates, I've tried first transforming it into a sphere and then into polar coordinates, but I just can't seem to get an integral that I can work with.

If someone could perhaps give me a push in the right direction (maybe a parametrization to try out), I would really appreciate it.