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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

    AKG

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    The upper limit N must be such that a + Nh = b. If b -> oo, then make the upper limit N = oo.
     
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