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Improper Integrals

  1. Jun 8, 2009 #1
    1. The problem statement, all variables and given/known data

    I don't understand why the following intergral is improper
    http://img413.imageshack.us/img413/1667/38410700.jpg [Broken]

    I have a graph for the function.
    http://img413.imageshack.us/img413/2424/photoxxs.jpg [Broken]

    According to this graph, the function should converge in [-∞,0)
    However, my solution manual says that the function has an infinite interval of integration.

    Could anyone tell me what I am mistaken?

    Thank you for reading.
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Jun 8, 2009 #2

    benorin

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    Homework Helper

    Improper integrals may either converge or diverge, that is, have a finite value or not. An improper integral is an integral involving an infinity in either or both bounds, or one whose integrand is discontinuous over the interval.
     
  4. Jun 8, 2009 #3
    Oh I should have studied more.

    Thank you. :)
     
  5. Jun 9, 2009 #4

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    "Infinite interval of integration" simply means that you are integrating from -infinity to 0, an infinite length.
     
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