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Math Help - Surface Intergral of Sphere

  1. #1
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    Surface Intergral of Sphere

    Given the intergral \iint_S a \ dS

    where
    a = (x^2 + y^2 + z^2)xi + j + zk

    where S is the sphere x^2+y^2+z^2 = 2

    I need to:
    a)Evaluate the surface integral directly
    b)Use Gauss's theorem to evaluate the integral


    I have looked through my notes and searched the web. I have found a few examples but they aren't the same as this question and i cant work out the differences.

    Any pointers in the right direction would be helpful, because i understand the theory of surface integrals, but am struggling to mathematically apply it.

    Thanks
    Jez
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  2. #2
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