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Definite Integrals - Average Values, Integration Rules?

  1. Nov 29, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the average value of the function f(t) = (t-3)^2 on [0,6]

    2. Relevant equations

    Average value equation (see below)

    3. The attempt at a solution

    Okay, I have this:

    http://img4.imageshack.us/img4/5338/howthecrap.png [Broken]

    But I don't know how it gets to the last step?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Nov 29, 2009 #2

    Mark44

    Staff: Mentor

    You did great up until the end. Substitute the values of the three integrals into what you have in the line above. You should get 1/6*(72 - 6*18 + 9*6). This answer, when simplified, agrees with mine.
     
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