find the amount of work in foot-pounds

Question

A trough is 5 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^10 from x = −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: In this problem, use 62 pounds per cubic foot as the weight of water.

Answer 1

I sent you a solution to this problem. There was a math error on my part. The final answer should be 270.13 ftlb. This comes about when you do the integration and evaluate the upper and lower values of 0 and 1 in the final answer. This gives 624(10/11- 10/21) which gives 62400/231. And this gives 270.13 ftlbs.