How to find integral of following equation?

Jun 2017
37
0
New Zealand
I am badly stuck in some integration here and will appreciate any help out of it.


$$\int^\infty_0f(r) dr = \int^\infty_0 \frac{Ar}{1+Cr^\alpha} e^{-Br^2} dr$$


If I let $u = Br^2$, then I get


$$ = \frac{A}{2B} \int^\infty_0\frac{\exp(-u)}{1+(u/B)^{2/\alpha}} du$$


But I am stuck while proceeding further. Any idea?
 

chiro

MHF Helper
Sep 2012
6,608
1,263
Australia
Hey sjaffry.

Hint - Try doing integration by parts.