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Order of differentiation and integration

  1. Oct 8, 2009 #1
    I guess the following identity isn't right. Can anyone tell me what the LHS is really equal to?
    [tex]\frac{\partial}{\partial x}\int_{-\infty}^\infty\int_0^x f(s,t) dsdt = \int_{-\infty}^\infty f(x,t)dt[/tex]
    Last edited: Oct 8, 2009
  2. jcsd
  3. Oct 8, 2009 #2


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    Hi toptrial! :smile:

    Looks ok to me (unless there's a convergence difficulty). :confused:

    Do you have a particular f(s,t) in mind?
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