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## Homework Statement

F = x

**i**+ x

^{3}y

^{2}

**j**+ z

**k**; C the boundary of the semi-ellispoid z = (4 - 4x

^{2}- y

^{2})

^{1/2}in the plane z = 0

## Homework Equations

(don't know how to write integrals on here, sorry)

double integral (curl F) . n ds

## The Attempt at a Solution

curl F = 3y

^{2}x

^{2}

**k**

n = k

curl F . n = 3y

^{2}x

^{2}

So I have a surface integral, which I think I can change to dA since the differential of the surface area is just 1dA...

Now this is where I'm stuck. How do i do the double integral with an ellipse? I tried it in rectangular coordinates but got some function I don't know how to integrate. Help!

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