A triangular plate with height 4 ft and a base of 7 ft is submerged vertically in water so that the top is 2 ft below the surface.

A triangular plate with height 4 ft and a base of 7 ft is submerged vertically in water so that the top is 2 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)