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Question on Gaussian Integral

  • Thread starter liyz06
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  • #1
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Homework Statement


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?


Homework Equations





The Attempt at a Solution


Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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Homework Statement


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?


Homework Equations





The Attempt at a Solution

Because 1/t^9 for t in (z,infinity) is less than 1/z^9. Draw a graph.
 
  • #3
6
0
Because 1/t^9 for t in (z,infinity) is less than 1/z^9. Draw a graph.
Thanks, really stupid question
 

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