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Math Help - Choosing the normal in a scalar field over sphere

  1. #1
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    Choosing the normal in a scalar field over sphere

    Hi!

    EDIT: I am not allowed to use Gauss in this problem

    The Question:

    Solve the surface integral of (2x+x^3*z)*ndS over the surface of the sphere with origo in (0,1,0) with radius 1. n points outward.

    My attempt at solution:

    I have no attempt made because I get stuck at the fact that (2x+x^3*z) is multiplied by a vector n. For this to be a viable solution I assume that n can only be in one directon x,y or z otherwise I have to integrate over a vector and that does not feel right for me.

    What would n be for a sphere and why cant I find any information anywhere what it might be?
    Last edited by Hanga; August 8th 2011 at 10:11 AM.
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