Describe three methods you can use to find the value of ∫∫s curlF•ndσ

Question

Let S be the hemisphere of equation x² + (y -2) +z² = 9; z ≥ 0, with positive (outward) orientation, and let F(x,y,z) = xy i + yz j + xz k.

Describe three methods you can use to find the value of ∫∫_s curlF • n dσ.

Answer 1