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Official 2023 Paper 1 · Q10

Paper 1Calculus

The trapezium rule with 4 strips is used to estimate the integral:

∫−224−x2dx.\int_{-2}^{2}\sqrt{4-x^2}\dd x.

What is the positive difference between the estimate and the exact value of the integral?

A2(π−2−23)2(\pi-2-2\sqrt3)
B2(π−1−3)2(\pi-1-\sqrt3)
C2(2π−1−3)2(2\pi-1-\sqrt3)
D4(π−1−3)4(\pi-1-\sqrt3)
E2π−332\pi-3\sqrt3
F4π−634\pi-6\sqrt3

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