A leaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.9 kg/m. Initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. Find the work done. (Use 9.8 m/s2 for g.) 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.) lim Ax 7 - 00 1 Express the work as an integral. 15 67 - 3.9x x dx Evaluate the integral. (Round your answer to the nearest integer.) 5549 X