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Question on Gaussian Integral

  1. Apr 11, 2013 #1
    1. The problem statement, all variables and given/known data
    I'm reading Hinch's perturbation theory book, and there's a statement in the derivation:
    ...[itex]\int_z^{\infty}\dfrac{d e^{-t^2}}{t^9}<\dfrac{1}{z^9}\int_z^{\infty}d e^{-t^2}[/itex]...

    Why is that true?


    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 11, 2013 #2

    Dick

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    Because 1/t^9 for t in (z,infinity) is less than 1/z^9. Draw a graph.
     
  4. Apr 11, 2013 #3
    Thanks, really stupid question
     
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