A worker on a scaffolding 85ft above the ground needs to lift a 440lb bucket of cement from the ground to?

Question

above the ground by pulling on a rope weighting 6lb/ft. Set up the integral of how much work is required ( only the integrand)? Let x denote the height above ground.

What is the total work?

Answer 1

tie 3 concrete blocks to the end of the rope and let that bucket fly up = let gravity do the work

Answer 2

Integral 0 to 85 [440 +(85-x)]x dx