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Homework Help: Changing Limits of Integration affects variable substitution?

  1. Sep 23, 2009 #1
    1. The problem statement, all variables and given/known data

    see attached

    2. Relevant equations

    3. The attempt at a solution

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  2. jcsd
  3. Sep 23, 2009 #2


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    Homework Helper

    not exactly sure what the question is...

    couple of points though, it is usually easier to use a different dummy variable when you use a subtitution

    say you have
    [tex] \int_b^a dt f(t) [/tex]

    and want to change to u(t) = t/2, then
    dt = 2.du
    u(a) = a/2
    u(b) = b/2

    so the integral becomes
    [tex] \int_{b/2}^{a/2} 2.du f(2u) [/tex]

    see how this compares with your case...
  4. Sep 26, 2009 #3
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