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Summation - Riemann Intergral -

  1. Feb 19, 2008 #1
    [SOLVED] Summation - Riemann Intergral - URGENT

    1. The problem statement, all variables and given/known data

    Im working on the upper and lower riemann sums of f(x) = exp(-x)

    where Pn donates the partition of [0,1] into n subintervals of equal length (so that Pn = {0,1/n,2/n,....,1})


    2. Relevant equations



    3. The attempt at a solution

    So far i have the upper sum to be the sum from i=1 to n of exp(-i/n)/n - is this right? - if so where do i go from here? I think im meant to take the limit when n-> infin which should give the final upper sum. I hope this right...
     
  2. jcsd
  3. Feb 19, 2008 #2
    ...and the lower sum to be the sum from i=1 to n of exp((1-i)/n)/n ?
     
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