(1 point) A trough is 6 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of ?=?6y=x6 from ?=−1x=−1 to ?=1x=1 . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is 6262 pounds per cubic foot.
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