## Thomas' Calculus 13th Edition

We set up the integral as follows: $\int ^5_{-5} \int ^0_{-2}\frac{10,000e^y}{1+\frac{|e|}{2}}dydx$ =$10,000(1-e^{-2}\int ^5_{-5}\frac{dx}{1+\frac{|e|}{2}})$ =$10,000(1-e^{-2})[\int^0_{-5}\frac{dx}{1-\frac{x}{2}}+\int ^5_0 \frac{dx}{1+\frac{x}{2}}]$ =$10,000(1-e^{-2})[-2ln(1-\frac{x}{2})]^0_{-5}+10,000(1-e^{-2})[2ln(1+\frac{x}{2})]^5_0$ =$10,000(1-e^{-2})[2ln(1+\frac{5}{2})]+10,000(1-e^{-2})[2ln(1+\frac{5}{2})]$ =$40,000(1-e^{-2})ln(\frac{7}{2})$ Which is approximately equal to: $\approx 43,329$