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Derivative of an integral

  1. Nov 23, 2013 #1
    For the function F(x) = xx2∫(3t2 - 4/(1-t))dt find dF(x)/dx

    Attempt:

    = d/dx [t3 - 4lnl 1-t l)]lx2x
    = d/dx [x6 + 4lnl 1-x2 l - x3 - 4lnl 1-x l
    = 6x5 - 8x/l1-x2l - 3x2 + 4/l1-xl

    This is what I got. I was hoping to hear feedback on whether or not it's correct. I'm also wondering if there's any other method to solve this problem. Thanks!
     
  2. jcsd
  3. Nov 23, 2013 #2

    SteamKing

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    What you have doesn't appear to be quite right.

    This article explains the Leibniz Rule for various types of integrals.

    http://en.wikipedia.org/wiki/Leibniz_integral_rule

    Scroll down to the section "Variable limits form" and use the formula there.
     
  4. Nov 23, 2013 #3
    Thanks!
     
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