Set up the integral$($s$)$ to calculate the work against gravity required to pump out the top $4$ meters of water from a $2$m$($long$)$ x $3$m$($wide$)$ x $7$m$($high$)$ tank $($a rectangular box$)$ through a $1$m tall spout in the top of the tank, if the tank is entirely full. $($density of water, $=1000$kg$/$m$3,$ acceleration due to gravity, a $=9\mathrm{.}8$m$/$s$2)$ Do not evaluate the integral$($s$).$