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Riemman Sum Homework

  1. May 4, 2008 #1
    The following sum
    Sqrt(5+5/n) * (5/n) + Sqrt(5 +10/n) * (5/n)....

    is a right Riemann sum for the definite integral
    a=3 and b= 8

    what does f(x) equal? I got a and b but could not find f(x)

    It is also a Riemann sum for the definite integral
    Sqrt(5+5/n) * (5/n) (same as above)

    With the same sum, we got a different a and b
    a=5 and b=10
    What is g(x)?
    The limit of these Riemann sums as n approaches infinity = ?
  2. jcsd
  3. May 5, 2008 #2


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    Gold Member

    Do you know how the definite integral is defined using Riemann sums?
  4. May 5, 2008 #3


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    Science Advisor

    A Riemann sum is always of the form [itex]\Sigma f(x^*) \Delta x[/itex]. Which part of your sum is "[itex]\Delta x[/itex]" and which part is "[itex]f(x^*)[/itex]"?
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