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Problem with Integrals

  1. Dec 6, 2009 #1
    1. The problem statement, all variables and given/known data

    Ok, Im given a integral f(x) with a lower limit 0 zero and an upper limit of g(x). Its 1/(1+t^3)^(1/2)dt

    g(x) is the integral from 0 to cosx of (1+sin(t^2))dt. I need to find f '(pi/2). Any suggestions on where to start? This is calc one. I can find g '(x) but I dont think thats what is require. I am not sure however on how to actually integrate it.

    f '(x) would be 1/(1+(g(x))^3) but I Dont know what to do with g(x).

    2. Relevant equations

    find f'(pi/2)

    3. The attempt at a solution

    f '(x) would be 1/(1+(g(x))^3) but I Dont know what to do with g(x).
  2. jcsd
  3. Dec 7, 2009 #2
    Re: Integrals

    Not quite right. Denote the integral as F(g(x)) - F(0). Now, differentiating this, you get F'(g(x)) * g'(x). When you get to dealing with g(x), remember that you only need to evaluate it in a single point; this should make things a bit easier.
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