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Math Help - kindly explain shifting from integral to summation

  1. #1
    Member moonnightingale's Avatar
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    kindly explain shifting from integral to summation

    Can any body explain me second and third step of this solution.
    How book moved from integral to summation
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  2. #2
    MHF Contributor
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    Hi

    They used the expansion \left(1-e^{-\frac{\gamma}{\bar{\gamma}}}\right)^{M-1} = \displaystyle\sum_{n=0}^{M-1} \binom{M-1}{n} \left(-1\right)^n e^{-n\frac{\gamma}{\bar{\gamma}}

    Then they have inverted the intergral and the sum and computed the integral
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