Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Improper integral and rectangle method

  1. Sep 16, 2006 #1
    Improper integral and "rectangle" method

    If we have a definite integral then..using "rectangle" method we can get the approximation:

    [tex] \int_{a}^{b}f(x)dx \sim \sum_{n=0}^{N}f(a+nh)h [/tex]

    My question is..how do you define this method when b-->oo (Imporper integral?)...:confused: :confused:
  2. jcsd
  3. Sep 16, 2006 #2


    User Avatar
    Science Advisor
    Homework Helper

    The upper limit N must be such that a + Nh = b. If b -> oo, then make the upper limit N = oo.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook