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A trough is 3 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of $x^2$ from -1 to 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.

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    A trough in the shape of a parabolic prism? Seems pretty far-fetched to me. I think your teacher is pulling your leg.2012-09-29
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    @MJD Calculus makes that not an issue.2012-09-29
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    I want to know what jerk-ass farmer is watering his livestock out of a parabolic trough. Everyone knows that cattle drink optimally from catenaries.2012-09-29

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