1. The problem statement, all variables and given/known data F = xi + x3y2j + zk; C the boundary of the semi-ellispoid z = (4 - 4x2 - y2)1/2 in the plane z = 0 2. Relevant equations (don't know how to write integrals on here, sorry) double integral (curl F) . n ds 3. The attempt at a solution curl F = 3y2x2k n = k curl F . n = 3y2x2 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!!