A leaky 10*kg bucket is lifted from the ground to a height of 14 m at a constant speed with a rope that weighs 0.6 kg/m. Initially the bucket contains 42 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 147m level. Find the work done. (Use 9.8 my's2 for Q.) Show how to approximate the required work by a Riemann sum. (Let x be the height in meters above the ground. Enter x' as xi.) nIInm z( 9.8(60.4 3.6xi) )AX i: V :lxhx Evaluate the integral. (Round your answer to the nearest integer.) E 1 Submit