(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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 v_{rms}from this.

2. Relevant equations

We are given the definite integral from 0 to inf for the function (x^4)*exp(-x^2), which is (3/8)*Sqrt(Pi).

3. 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.

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# Integrating Maxwell-Boltzmann speed distribution

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