A curve has equation y = 1/3x 3 + 1. The length of the arc of the

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A curve has equation y = 1/3x3 + 1.

The length of the arc of the curve joining the point where x = 0 to the point where x = 1 is denoted by s.

Show that 

The surface area generated when this arc is rotated through one complete revolution about the x-axis is denoted by S. Show that 

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