Deriving the rms speed from the Maxwell speed distribution

  • Thread starter Tabiri
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  • #1
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Homework Statement



Find vrms from the Maxwell speed distribution.

Basically what I need to solve is the integral [itex]a\int_0^∞ \! v^4e^{xv^2} \, \mathrm{d}v [/itex]

Where ##a## and ##x## are constants.

Homework Equations



$$a\int_0^∞ \! v^4e^{xv^2} \, \mathrm{d}v $$

Where ##a## and ##x## are constants.

The Attempt at a Solution



I've tried u-substitution, subbing in u for ##v^2## and for ##v^{2.5}## but they end up not working.
 
Last edited:

Answers and Replies

  • #2
16
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Nevermind, figured it out (integrate by parts a couple times).
 

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