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Riemann sum question, with picture

  1. Feb 20, 2009 #1
    1. The problem statement, all variables and given/known data

    http://img4.imageshack.us/img4/898/integerqj5.jpg [Broken]
    2. Relevant equations

    3. The attempt at a solution
    It does appear to be a Riemann sum, I figured the 1/n is probably the width of the intervals and the sum in brackets is related to the sums of the heights of the rectangles. But my class didn't spend much time on Riemann sum's so I'm not sure I know how to continue.
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Feb 20, 2009 #2


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    Staff Emeritus
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    Yes, 1/n is the width of the intervals which means that x= x0+ i/n for i= 0, 1, ..., to (x1- x0)n. So it looks like we have f(x0+ i/n)= (i/n)^2 and i is running from 0 to 3n. Looks to me like the limits of integration are 0 and 3 and the integrand is x2.
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