Set up and calculate a definite integral giving the total force on the dam shown in the figure below, if the width $w = 3540$ m, height $h = 105$ m, and base width $b = 3070$ m, which are approximately the dimensions of the Aswan Dam in Egypt. Use $\rho=1000\hbox{ kg/m}^3$ and $g=9.8\hbox{ m/s}^2$.

Total force =
(include units)