# Maxwell-Boltzmann Statistics integral

In summary, the conversation is about a student struggling to find a solution for a Maxwell-Boltzmann Statistics integral for their electronics class. They have looked it up on Google and tried using WolframAlpha, but they are unable to find the solution. They are considering using the attachment provided by their professor, which suggests using partial integration to manipulate the integral into the form of Eq. 38 on page 10, which should evaluate to a gamma function.

Hey guys, I have this homework to do, but I can't find a solution.
I need to solve this integral. It's Maxwell-Boltzmann Statistics, we are studying it in class of electronics. So, integral goes like this:
∫from Ws to ∞ [(W-Ws)(1/2)*e(WF-W)/kT]dW

I have looked it up on google, but I couldn't find the solution..
And, WF,Ws,k and T are constants...
I'll be grateful.

You can try wolfram alpha but for the definite integral they'll charge you & the indefinite integral isn't of much help I don't think ...

Look at this attachment:
http://hep.ph.liv.ac.uk/~hock/Teaching/StatisticalPhysics-Part3-Handout.pdf

Check out Eq. 38 on page 10.

I think with some manipulation, you can get your integral into the form of Eq. 38 which should evaluate to a gamma function of some sort.

rude man said:
You can try wolfram alpha but for the definite integral they'll charge you & the indefinite integral isn't of much help I don't think ...
I tried using WolframAlpha, it gives me some result, and it's the right result, but I need the procedure..

SteamKing said:
Look at this attachment:
http://hep.ph.liv.ac.uk/~hock/Teachi...t3-Handout.pdf [Broken]

Check out Eq. 38 on page 10.

I think with some manipulation, you can get your integral into the form of Eq. 38 which should evaluate to a gamma function of some sort.
I don't know about that, man.. Professor gave us a "hint", he told us we need to use partial integration method.

Last edited by a moderator: