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Math Help - Stokes' Theorem

  1. #1
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    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?
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  2. #2
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    Quote Originally Posted by maibs89 View Post
    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 ......
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