Exercise $1$

Write code that calculates the work done by the gas from the analytical expression and store the result in a variable named W$\_$an $.$

Calculate the percent error of the numerical result from the analytical result, i$.$e$.$

$\frac{W-W_{an}}{W_{an}}100\%$

and store the percent error in variable pct$\_$error.raise NotImplementedError$()$print$($f$\text{'}$Analytical solution: $\{$W$\_$an$\}$ J$\text{'})$

print$($f$\text{'}$Percent error of the numerical solution: $\{$pct$\_$error:$\mathrm{.}4$e$\}\%\text{'})$

You should see a very small percent error, of the order of ${10}^{-14}.$