Derivation of Carrier Concentration (ni)

[m_keown2000]

< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown >[/color]

I am following a lecture on carrier concentration and I got to the point where the instructor said that for homework, derive the carrier concentration equation n_i, which equals:https://www.physicsforums.com/attachments/81076

To derive n_i you need to compute the following integral which I am having trouble solving:

where:

I tried Integration by parts and no luck. Any help would be greatly appreciated.

 

[guedman]

90make the variable change assume X = (E-[E][/C]/kT)