Maxwell-Boltzmann Statistics integral

[Yakadellic]

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 W_s to ∞ [(W-W_s)^(1/2)*e^(W_F-W)/kT]dW

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

 

[rude man]

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 ...

 

[SteamKing]

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.

 

[Yakadellic]

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..

Look at this attachment:
http://hep.ph.liv.ac.uk/~hock/Teachi...t3-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.

I don't know about that, man.. Professor gave us a "hint", he told us we need to use partial integration method.