To determine the size of the motor required to operate a press, a company must know the amount of work done when the press moves an object linearly 5 feet. The variable force to move the object is

F(x) = 100x 125x3,

whereFis given in pounds andxgives the position of the unit in feet. Use Simpson's Rule withn= 12to approximate the workW(in foot-pounds) done through one cycle when

W = ₀⁵F(x)dx

(Round your answer to two decimal places.)

W=________ft-lb