Welcome to our community

Be a part of something great, join today!

find the analytic form expression for the given integral using suitable approximations

venkaiah

New member
Nov 2, 2018
1
Find the closed form (or) analytic expression form for the following integral

$$
\hspace{0.3cm} \large {\int_{0} ^{\infty} \frac{\frac{1}{x^4} \hspace{0.1cm} e^{- \frac{r}{x^2}}\hspace{0.1cm}e^{- \frac{r}{z^2}} }{ \frac{1}{x^2} \hspace{0.1cm} e^{- \frac{r}{x^2}}+ \frac{1}{y^2} \hspace{0.1cm} e^{- \frac{r}{y^2}}}} dr \hspace{.2cm} ; \hspace{1cm} x>0,y>0,z>0 $$ where $ x $ ,$ y $ and $z $ are constants and independent of $ r $.
 

Greg

Perseverance
Staff member
Feb 5, 2013
1,382
Hi venkaiah and welcome to MHB! :D

Any thoughts on how to begin?