If a leaking bucket weights 2lbs and the water weights 8 lbs; if you lift the bucket 4 ft and all the water leaks out when it reaches 4 ft. How much work is done by the person lifting the bucket?

i dont know how to set the integral correctly, all i know isthe limits are from 0-4, but when i tried to work out the problem, i got 16/5, and i feel as if i did something wrong.