Question: The area enclosed between the curve y = (x 2) and the ordinates x = 2 and x = 5 is rotated through 2

The area enclosed between the curve y = √(x – 2) and the ordinates x = 2 and x = 5 is rotated through 2 radians about the x axis. Calculate

(a) The rotating area and the coordinates of its centroid;

(b) The volume of the solid of revolution generated and the coordinates of its centre of gravity.

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