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Help on calculus od Partial Differential Expression

  1. Feb 14, 2006 #1

    I'm looking to compute the following expression:

    \int \left((\frac{\pat f(x,y)}{\pat x})^{2}+(\frac{\pat f(x,y)}{\pat y})^{2}\right)dxdy

    any body could help me or there is well-known formula for this expression?

  2. jcsd
  3. Feb 14, 2006 #2


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    Staff Emeritus
    Science Advisor

    That is, of course, the same as
    [tex]\int f^2(x,y) \left(\frac{1}{x^2}+ \frac{1}{y^2}\right)dxdy[/tex]

    Other than that, how you integrate it will depend strongly on f(x,y).
    Last edited: Feb 14, 2006
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