The table shows values of a force function $f(x),$ where $x$ is measured in meters and $f(x)$ in newtons.

$\backslash$table$[[x,4,8,12,16,20,24,28,32,36],[f(x),5,5\mathrm{.}6,7\mathrm{.}2,8\mathrm{.}5,9\mathrm{.}6,8\mathrm{.}2,6\mathrm{.}9,5\mathrm{.}1,4\mathrm{.}1]]$

Use the midpoint rule with $n=4$ to estimate the work $W($in J$)$ done by the force in moving an object from $x=4$ to $x=36.$