Let P(v) represent the Maxwell-Boltzmann speed distribution. Basically what it comes down to is that I have to find the definite integral (0,inf) of P(v)*v^2 and get vrms from this.
We are given the definite integral from 0 to inf for the function (x^4)*exp(-x^2), which is (3/8)*Sqrt(Pi).
The Attempt at a Solution
I first move all the constants in front of the integral and then the integral simplifies to (v^4)*exp(-mv^2/kT). However, I have no idea what to do with the constants stuck in the exponent. How would I continue from here?
Thank you beforehand.