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## Homework Statement

If the Maxwell-Boltzmann distribution of energy is f(E)=2*pi*E

^{1/2}*(1/pi*k*T)

^{3/2}*e

^{E/kT}. Can you calculate the most probable energy from this? (The answer is kt/2).

## Homework Equations

Some kind of integration (guassian integral) is needed from 0 to infinity I believe.

## The Attempt at a Solution

I tried integration by parts and some other methods with no luck. My teacher made it clear that this is not a gamma function (my initial thought since the E

^{1/2}is paired with an exponential function) and that the answer is relatively easy. Any help would be much appreciated!