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

$\backslash$table$[[x,2,6,10,14,18,22,26,30,34],[f(x),5,5\mathrm{.}4,6\mathrm{.}8,8\mathrm{.}6,9\mathrm{.}8,8\mathrm{.}2,6\mathrm{.}5,5\mathrm{.}2,4\mathrm{.}1]]$

Use the midpoint rule with $n=4$ to estimate the work $W($in J$)$ done by the force in moving an object from $x=2$ to $x=34.$

$W=$

J