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

venkaiah

New member
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
Hi venkaiah and welcome to MHB!

Any thoughts on how to begin?