If $f(x,y)=\frac{20,000e^y}{1+\frac{|x|}{4}}$ represents the "population density" of a certain bacterium on the $xy-$plane, where $x$ and $y$ are measured in centimeters, find the total population of bacteria within th

Express the total population of bacteria as an iterated integral.

${\displaystyle \underset{-5}{\overset{5}{}}}{\displaystyle \underset{-1}{\overset{0}{}}}\frac{20000e^y}{1+\frac{|x|}{4}}dydx$

Evaluate the integral in the previous step.

The exact value of the integral is $$