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Advance calculus problem help!

  1. Jan 31, 2010 #1
    1. The problem statement, all variables and given/known data

    Find function f(x) and constant a such that,

    6 + integral f(t)/t^2 dt = 2x limits of integral are a....x

    2. Relevant equations
    I am not quite sure how to approach this problem? What area of a calculus text would this type of problem be in?

    Thanks in advance!

    3. The attempt at a solution
  2. jcsd
  3. Jan 31, 2010 #2


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    Gold Member

    What are the limits of integration?
  4. Jan 31, 2010 #3
    the limits are, a to x
  5. Jan 31, 2010 #4
    if f(t) = 2 t^2, it seems you'll get the answer
  6. Jan 31, 2010 #5


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    Staff Emeritus
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    Education Advisor

    You want to get f(t) out of the integral so you can solve for it, and to get rid of integrals you differentiate. You'll need to use the fundamental theorem of calculus.
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