A plate in the first quadrant, bounded by the curves y=e^x, y=1, and x=4, is submerged vertically in water its upper corner on the surface. The surface of the water is given by the line y=e^4. Find the total force on one side of the plate if the weight of water is 62.5 lb/ft^3, and if the units of x and y are also measured in feet.
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