A dam on a river is built so that the wall facing the water is shaped like the region above the curve

$y=0\mathrm{.}4x^4$ and below the line $y=100.($Here$,$ distances are measured in meters.$)$ The water level is $24$

meters below the top of the dam. Find the force $($in Newtons$)$ exerted on the dam by water pressure.

$($Water has a density of $1000\frac{kg}{m^3},$ and the acceleration of gravity is $9\mathrm{.}8\frac{m}{se{c}^2}.)$

$1$