1. Limited time only! Sign up for a free 30min personal 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!

Riemann Sum to integral

  1. Jun 9, 2010 #1
    If I have a function c(x,Δx) that gives the area between x and x + Δx of a function.
    The area under the function can be given by:
    Sum from j = 0 to n-1 of c(b/n j,c/b)
    As n tends to infinity and b is the upper limit of integration.

    How can I convert this from a sum into a integral? I'm not sure if this is already in the form of a Riemann integral or not.

    Thankyou in advance
  2. jcsd
  3. Jun 9, 2010 #2


    User Avatar
    Science Advisor
    Gold Member

    Please clarify this expression.
  4. Jun 10, 2010 #3
    Well c(x, Δx) is
    1/2 Csc(x) Csc(x + Δx) s(x) s(x + Δx) Sin(Δx)
    (Formula for the area of a triangle where Csc(x) s(x) are the length sides.

    Where s(x) is the solution for z of f(z) == z Cot(x).

    Where f(z) is the function I want to integrate. (I don't want to just integrate it f(z) dz)
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Riemann Sum to integral
  1. Riemann sum (Replies: 1)