A trough is 3 feet long and foot high. The vertical
cross-section of the trough parallel to an end is shaped like the
graph of from to . The trough is
full of water. Find the amount of work required to empty the trough
by pumping the water over the top. Note: The weight of water is 62
pounds per cubic foot. Your answer must include the correct

units. (You may enter

*lbf* or

*lb*ft* for

*ft-lb*.)

Work =