Problem 10: Water is drawn from a well using a leaky bucket.Assume the following: • The well is 23 ft deep and requires 23 ftof rope to pull the bucket to the top. • The rope weighs a total of12 lbs. • The bucket weighs 3 lbs when empty. • The bucket holds 16lbs of water. It is full at the bottom of the well and loses halfof its water by the time it reaches the top of the well. • Thewater leaks from the bucket at a constant rate. Set up an integralexpression for how much work was done when pulling the bucket upthe first 7 ft on its way to the top.