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Math Help - Riemann Sum

  1. #1
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    Riemann Sum

    Can someone help me set up the Riemann sum for y=sqrt(x)?

    I have tried several times to set this up, but I cannot seem to simplify the summation. Any advice would be great!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by RU2010 View Post
    Can someone help me set up the Riemann sum for y=sqrt(x)?

    I have tried several times to set this up, but I cannot seem to simplify the summation. Any advice would be great!
    I will assume you want the integral from  0 to  1 since then you can find the integral over a general interval by making appropriate transformations to the variables etc, and note nobody said the partitions had to be into equal intervals)

    Take the partition:

    \left\{[0,(1/n)^2), [(1/n)^2,(2/n)^2), ... , [(\frac{n-1}{n})^2,1)  \right\}


    Using this partition the left and right Riemann sums will reduce to something you should be able to handle.

    CB
    Last edited by CaptainBlack; September 4th 2010 at 01:52 AM.
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