It seemed much easier to screencap than to write out.
It helps to know that the number of states with speed between u and u+du is 2pi*u du
The Attempt at a Solution
I've tried quite a few things but every time I get to trying to normalise I either get stuck integrating by parts over and over, or using http://en.wikipedia.org/wiki/Gaussian_integral" [Broken]<that, which doesn't arrive at the answer wanted.
If someone could give me a push in the right direction it would be much appreciated.
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