Physical Chemistry- Maxwell Boltzmann Distribution

[sdoyle1]

Homework Statement

Use the maxwell Boltzmann distribution to derive an expression for <v^3>

Homework Equations

<v>=(8RT/piM)^1/2

The Attempt at a Solution

I know that you have to integrate from 0 to infinity v^3p(v)dv.. but I don't really know how to integrate this. I just need to find a general integral then I can look it up in the handbook for chemistry and physics...

 

[vela]

Use the substitution u=v² (maybe throw in the constants while you're at it), and you'll have an integral in the form of the gamma function.