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QUESTION

The portion of the graph y = tan1 x between x = 0 and x = 1 is rotated around the y axis to form a container. The container is filled with water.

The portion of the graph

y = tan−1 x

between x = 0 and x = 1 is rotated around the y axis to form a container. The container is filled with water. Use n = 6 subintervals and Simpson's rule to approximate the work required to pump all of the water out over the side of the container. Give your answer in decimal form.

(Distance is measured in meters, the density of water is 1000 kg/m3, and use 9.8 m/s2 for g.)

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