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Beyond Horizon Set 3 Paper 1 · Q10

Paper 1Calculus

The curve y=2x3−9x+5y=2x^3-9x+5 has turning points at x=αx=\alpha and x=βx=\beta, where β>α\beta>\alpha. Find

∫αβ(2x3−9x+5) dx\int_\alpha^\beta\left(2x^3-9x+5\right)\,dx
A−162-16\sqrt2
B−20-20
C−20+122-20+12\sqrt2
D00
E525\sqrt2
F565\sqrt6
G20220\sqrt2

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