If the Maxwell-Boltzmann distribution of energy is f(E)=2*pi*E1/2*(1/pi*k*T)3/2*eE/kT. Can you calculate the most probable energy from this? (The answer is kt/2).
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 E1/2 is paired with an exponential function) and that the answer is relatively easy. Any help would be much appreciated!