The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve http://webwork.math.uwyo.edu/webwork...c5e2f646e1.png and below the line http://webwork.math.uwyo.edu/webwork...4172cdf801.png. (Here, distances are measured in meters.) The water level is http://webwork.math.uwyo.edu/webwork...7686503371.png meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure.

(Water has a density of http://webwork.math.uwyo.edu/webwork...d440db5d41.png, and the acceleration of gravity is http://webwork.math.uwyo.edu/webwork...a321c65a51.png )