A trapezoidal plate with bases 6 m and 12 m is partially submerged vertically in water so that the top is 3 m above the surface and the bottom is 3 m below the surface. Express the hydrostatic force (in N) against one side of the plate as an integral (let the positive direction be downwards) and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/sĀ² for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/mĀ³.) ?g ?_3^6 ( x(x - 9) ) dx ? 308700 N
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