| Exam Board | CAIE |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2005 |
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| Session | November |
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| Topic | Centre of Mass 2 |
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8 Find the coordinates of the centroid of the finite region bounded by the \(x\)-axis and the curve whose equation is
$$y = x ^ { 2 } ( 1 - x )$$
Deduce the coordinates of the centroid of the finite region bounded by the \(x\)-axis and the curve whose equation is
$$y = x ( 1 - x ) ^ { 2 }$$