A bucket holding 17kg of sand is being lifted by a weightless rope. The bucket leaks 0.5kg of sand for every 1m lifted. Find the work done to lift the bucket up by 10m.  Let X represent the distance lifted so far, and use dx to represent a small distance of additional lifting.  Assume acceleration due to gravity is g=9.8m/s^2. Give the answer in Joules

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