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Riemann Sum to Integral

  1. Jan 26, 2012 #1
    1. The problem statement, all variables and given/known data
    For which integral, is the below example, a Riemann sum approximation.?
    The example is: 1/30( sqrt(1/30) + sqrt(2/30) + sqrt(3/30)+...+sqrt(30/30))
    A. Integral 0 to 1 sqrt(x/30)
    B. Integral 0 to 1 sqrt(x)
    C. (1/30) Integral 0 to 30 sqrt(x)
    D. (1/30) Integral 0 to 1 sqrt(x)
    E. (1/30) Integral 0 to 1 sqrt(x/30)


    2. Relevant equations



    3. The attempt at a solution
    Honestly, I don't have a clue on how to ascertain this question. I understand that Riemann sums are basically a crude estimation of the area under a curve using rectangles. Can someone tell me which one is right and say why.
     
  2. jcsd
  3. Jan 27, 2012 #2
    try writing out what the terms look like and see if you can figure out what it looks like. think about what each term means. distribute the 1/30. and think how reimann sums are constructed. see if that helps.
     
  4. Jan 27, 2012 #3
    What I meant in my previous post was to actually graph your problem. Then superimpose the curve over it. It should be pretty obvious at that point what you're approximating.
     
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