# Math Help - Stokes' Theorem

1. ## Stokes' Theorem

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?

2. Originally Posted by maibs89
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?
The line integral is calculated around the closed curve defined by $x^2+(1-2)^2+z^2=10 \Rightarrow x^2 + z^2 = 9 ......$