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A question on integrals

  1. Feb 2, 2009 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution

    So, this is really a question. Suppose you have:

    [tex]a(t)=\int_{\Omega} |\psi|^2[/tex]

    and then you have,

    [tex]\frac{\partial t}{\int_{t_0}^{t_1} dt a(t)}[/tex]

    Surely this can't be right, because that would imply by substitution

    [tex]\frac{\partial t}{\int_{t_0}^{t_1} dt \int_{\Omega} |\psi|^2}[/tex]

    Is that really allowed?
  2. jcsd
  3. Feb 3, 2009 #2
    Can no one answer this for me?
  4. Feb 3, 2009 #3
    What is the differential of the integral in the first equation?
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