1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Limits & Riemman Sum

  1. May 5, 2008 #1
    1. The problem statement, all variables and given/known data
    Question regarding #16

    [​IMG]


    2. Relevant equations

    Riemman Sum

    3. The attempt at a solution

    I know that the limit of the Riemman Sum is basically the integral. However, I do not know where to go from there. Do I need to use the Summation formulas? Thanks
     
  2. jcsd
  3. May 5, 2008 #2

    rbj

    User Avatar

    can you write down the expression for a Riemann integral. something like:

    [tex] \int_a^b f(x) dx = \lim_{N \to \infty} \sum_{n=1}^N ??? [/tex]

    what goes in the question marks?

    also, even though Riemann doesn't, assume things in the ??? are equally spaced. that's usually good enough.
     
    Last edited: May 5, 2008
  4. May 6, 2008 #3
    Well, here's what I have so far:

    [tex] \int_a^b f(x) dx = \lim_{N \to \infty} \sum_{n=1}^N (\frac{1}{N}\sin(\frac{\pi i}{N})[/tex]
     
  5. May 6, 2008 #4

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    So what part of that sum is dx and what part is f(x)? After you know f(x), what is its integral?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Limits & Riemman Sum
  1. Riemman Sum Homework (Replies: 3)

  2. Riemman Sum Homework (Replies: 2)

  3. Limit of a sum (Replies: 7)

  4. Limit of an sum (Replies: 7)

Loading...