The area enclosed between the x axis, the curve y = x(2 x) and the ordinates
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The area enclosed between the x axis, the curve y = x(2 – x) and the ordinates x = 1 and x = 2 is rotated through 2π radians about the x axis. Calculate
(a) The rotating area and the coordinates of its centroid;
(b) The volume of the solid of revolution formed and the coordinates of its centre of gravity.
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