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

x $5913172125293337$

f$($x$)55\mathrm{.}978\mathrm{.}79\mathrm{.}78\mathrm{.}46\mathrm{.}95\mathrm{.}44\mathrm{.}1$

Use the midpoint rule with $n=4$ to estimate the work $W($in J$)$ done by the force in moving an object from $x=5$ to $x=37.$

$w=$