A trough is 4 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped

Question

A trough is 4 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x^8 fromx =-1 to x=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 62 pounds per cubic foot.

Answer 1

i high