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A trough is 3 feet long and 1 foot high. The vertical cross-sections of the trough parallel to its ends are shaped like the graph of y=x^8 from x=−1 to x=1 . The trough is completely filled with 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 62.5 pounds per cubic foot.
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