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How to calculate a integral on boundary

  1. Mar 1, 2008 #1
    I would like to calculate the following integration:

    \oint_{\Sigma}f(x,y)g(x,y)\mathbf{n}\cdot d\mathbf{s}

    where g(x,y)=0 on \Sigma, and \mathbf{n} is the outward pointing unit normal field of the boundary \Sigma.

    In this case does the integral equals to 0?

  2. jcsd
  3. Mar 2, 2008 #2


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    Staff Emeritus
    Science Advisor

    You forgot the [ tex ] and [ /tex ] tags!
    Yes, if your integrand is always 0, the integral is 0. Isn't that obvious?
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