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Integral Derivative

  1. Oct 9, 2006 #1
    g(x) = integral 0 to lnx (sin(t)+t^3/2))dt

    find d/dx g(x):

    let u = lnx

    = sin(u) + u^3/2 du/dx
    = sin(lnx)(1/x) + x^3/2(1/x)

    Last edited: Oct 9, 2006
  2. jcsd
  3. Oct 9, 2006 #2


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    What is your question?
  4. Oct 9, 2006 #3
    I believe what you need to examine is the fundamental theorem of calculus, part 2. Check your text.

    edit: in that section, you'll probably see some examples where they find the derivative of the integral of some function...
    Last edited: Oct 9, 2006
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