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Homework Help: Average value of function, answer check

  1. Oct 21, 2011 #1
    1. The problem statement, all variables and given/known data
    Find the average value of the function u(x)= 10xsin(x2) on the interval [0, ∏1/2]

    (Sorry, I can't figure out how to make the square root symbol)

    2. Relevant equations

    3. The attempt at a solution
    For the integral of u(x), I got -5cos(x2)

    I substituted 0 and ∏1/2 and got 10.

    then I multiplied by 1/b-a which was 1/∏1/2

    making my final answer 10/∏1/2
  2. jcsd
  3. Oct 21, 2011 #2


    Staff: Mentor

    [ itex ]\sqrt{\pi}[ /itex ] - omit the extra spaces.

    Here's a link to a PF page about using LaTeX - https://www.physicsforums.com/showthread.php?t=386951 [Broken]
    I get the same thing. Good work!
    Last edited by a moderator: May 5, 2017
  4. Oct 21, 2011 #3
    Great, thank you so much!
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