A bucket that weighs 4 lb and a rope 0f negligible weight are used to draw water from a well that is 70 ft deep. The bucket is filled with 36 lb of water and is pulled up at a rate of 2.5 ftls, but water leaks out of a hole in the bucket at a rate of 0.25 lb/s. Find the work done in pulling the bucket to the top of the well. Show how to approximate the required work by a Riemann sum. (Let x be the height in feet above the bottom of the well. Enter xi as x..) H .le )Ax 1:1 Express the work as ah integral. 1; ( )dx Evaluate the integral. ftelb