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A Integral representation of Euler constan

  1. Jun 27, 2017 #1

    bbailey

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    Gold Member

    I am working on the integral representation of the Euler-Mascheroni constant and I can't seem to understand why the first of the two integrals is (1-exp(-u))lnu instead of just exp(-u)lnu. It is integrated over the interval from 1 to 0, as opposed to the second integral exp(-u)lnu which is integrated from 1 to infinity. I would appreciate any help on why the first integral is transformed from exp(-u)lnu to (1-exp(-u))lnu. thanks in advance
     
  2. jcsd
  3. Jun 27, 2017 #2

    jedishrfu

    Staff: Mentor

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