Use Stokes' Theorem to evaluate
Double integrate (grad X F).dS where F is (z, exp(xyz), -x) and surface S is that part of the sphere x^2+(y-2)^2+z^2=10 for y=>1 with the normal pointing outwards.
I know I need to use Integrate F.dS as an equivalent, but how do I parameterise the equation and get the domain?