A trough is in the shape of a trapezoidal prism (see figure below). The trapezoid is defined by the following points:
(1,0),(0,1),(2,0),(3,1)
. The length of the trough is 2 ft . Assuming it is full of water, which weights
62.5l(b)/(f)t^(3)
, write an integral that computes the work done in pumping the water to the top of the trough.

Question

A trough is in the shape of a trapezoidal prism (see figure below). The trapezoid is defined by the following points:

(1,0),(0,1),(2,0),(3,1)

. The length of the trough is 2 ft . Assuming it is full of water, which weights

62.5l(b)/(f)t^(3)

, write an integral that computes the work done in pumping the water to the top of the trough.

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