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Homework Help: Help on calculus od Partial Differential Expression

  1. Feb 14, 2006 #1
    Hi,

    I'm looking to compute the following expression:

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

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

    thanks,
     
  2. jcsd
  3. Feb 14, 2006 #2

    HallsofIvy

    User Avatar
    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 by a moderator: Feb 14, 2006
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