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Official 2019 Paper 1 · Q9

Paper 1Geometry

pp is a positive constant.

Find the area enclosed between the curves y=pxy=p\sqrt x and x=pyx=p\sqrt y.

A23p5/2−12p2\frac23p^{5/2}-\frac12p^2
B43p5/2−p2\frac43p^{5/2}-p^2
Cp46\frac{p^4}6
Dp43\frac{p^4}3
E23p3−12p4\frac23p^3-\frac12p^4
F43p3−p4\frac43p^3-p^4
G2p42p^4

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