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 against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m3.)