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Integration Evaluation

  1. Apr 13, 2010 #1
    Hello,

    I am reading some material that using mathematics extensively, and I encountered with the following result:

    [tex]\frac{N}{\overline{\gamma}}\,\int_0^{\infty}\gamma \,\left[1-\mbox{e}^{-\gamma/\overline{\gamma}}\right]^{N-1}\,\mbox{e}^{-\gamma/\overline{\gamma}}\,d\gamma=\,\overline{\gamma}\sum_{k=1}^N\frac{1}{k}[/tex]


    How did they get there? I tried to use the binomial expansion and assemble the exponentials, but the result was something different. Any hint will be highly appreciated.

    Thanks in advance
     
  2. jcsd
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