A vertical plate is submerged in water and has the shape as seen in the picture. Using the fact that the weight of water is calculate the hydrostatic force (in lbs) against the end of the tank. Give your answer correct to the nearest hundred.

(Hint: First set up a Riemann sum that approximates the hydrostatic force, which can then be used to obtain an integral that represents the force.)

Hydrostatic force = lbs