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Differentiation of integrals and integration(?)

  1. May 31, 2012 #1

    ShayanJ

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    I heard that the formula below can be used to evaluate some kinds of integrals but I can't find what kinds and how to do it.Could someone name those kinds and also the procedure?

    [itex]
    \frac{d}{dx} \int_{a(x)}^{b(x)} f(x,t) dt = f(x,b(x)) b'(x) - f(x,a(x)) a'(x) + \int_{a(x)}^{b(x)} \frac{\partial}{\partial x} f(x,t) dt
    [/itex]


    Thanks
     
  2. jcsd
  3. May 31, 2012 #2

    micromass

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  4. May 31, 2012 #3

    ShayanJ

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    That doesn't contain what I wanted.
    I have seen another page from wikipedia too.That one contains some integration using the formula but I can't understand the general procedure.
     
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