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Homework Help: Integral of statistical mechanics

  1. Apr 14, 2013 #1
    Hello, i need solve de following integral

    [tex] \int ^{\infty}_0 \frac{x^3}{e^x+1} dx [/tex]

    i tried with the fermi function but the factor [tex]e^x[/tex] is different to [tex]e^{x-\eta}[/tex], and with the gamma function but the factor [tex]e^x+1[/tex] is different to [tex]e^x-1[/tex].

    Help please
  2. jcsd
  3. Apr 14, 2013 #2


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    The Bose and Fermi forms are related by 1/(e^x+1)-1/(e^x-1)=2/(e^(2x)-1). I know you know the Fermi form. You should be able to find the Bose form from there.
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