Answer to Question #28386 in Calculus for Shayan

Question

By using divergence theory compute the surface integral of ∫ ∫T F.ds where T is the unit spehere x^2+y^2+Z^2=1. and the vector field F is (y,z,x).

I found the div(F)=0 so the surface integral is zero? Is this correct? Could someone please confirm? Thank you!