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A trough is 4 feet long and 11 foot high. The vertical cross-section of the trough...

A trough is 4 feet long and 11 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x^8 from x=−1 to x=1. 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.

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