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Average Value of a Function

  1. Dec 5, 2012 #1
    1. The problem statement, all variables and given/known data

    Determine the average value of the following function over the interval [0,6]

    f(t) = (t2-1)e-0.5t

    2. Relevant equations

    1/(b-a) ∫ f(x) = {f(x)}

    3. The attempt at a solution

    Substitution?

    let u = (t2-1)

    du/dt = 2t

    du/2t = dt

    1/(6) ∫ u e-0.5t (du/2t)


    And here, I reach a roadblock.
     
  2. jcsd
  3. Dec 5, 2012 #2

    jedishrfu

    Staff: Mentor

    so to get the average of the function you integrate the function and then divide by the interval length.
     
  4. Dec 5, 2012 #3

    vela

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    Science Advisor
    Homework Helper
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    Try a different technique.
     
  5. Dec 5, 2012 #4

    SammyS

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    Use integration by parts, twice.
     
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