A-LevelFurther MathematicsFurther CalculusOct/Nov 2013Paper 1 Q912 Marks
The curve C has parametric equations x = t², y=t-t³, for 0 ≤ t ≤ 1. Find the surface area generated when C is rotated through 2π radians about the x-axis. Find the coordinates of the centroid of the region bounded by C, the x-axis and the line x = 1.
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