A heavy rope, $60$ ft long, weighs $0\mathrm{.}3$ lb$/$ft and hangs over the edge of a building $130$ ft high. Approximate the required work by a Riemann sum, then express the work as an integral and evaluate it$.$

How much work WW is done in pulling half the rope to the top of the building?

WThe bottom half of the rope is lifted $30$ ft$,$ and this requires a constant force of