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Homework Help: Logarithm Integral

  1. Jan 23, 2009 #1
    I have been working on a solid state physics homework problem, and I have gotten the answer down to an integral that I am unsure how to do by hand. I can plug it into Mathematica, and I receive the correct answer (I am asked to show something) but I would like to know how to do this integral by hand.

    Integral of Ln(y-1) / y^2
  2. jcsd
  3. Jan 23, 2009 #2


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    It's an easy integration by parts. Let u=ln(y-1) and v=(-1/y). Your integral is u*dv. Is that enough of a hint? If not then for the second integral v*du use partial fractions.
  4. Jan 23, 2009 #3
    Ahh... I tried the integration by parts approach, but wasn't sure where to go from there. I hadn't done partial fractions in a long while and did not notice I could separate it that easily. Thank you.
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