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Euclid Sample Paper 1 · Q11

Paper 1Logic & proofCalculus

The trapezium rule, using any positive number of equal-width strips, is applied to

∫02(x4−4x3+6x2) dx.\int_0^2\left(x^4-4x^3+6x^2\right)\,\mathrm dx.

Which statement is true?

AIt always gives an overestimate.
BIt always gives an underestimate.
CIt is exact only when the number of strips is even.
DIt is exact for every number of strips.
EIt gives an overestimate for an odd number of strips and an underestimate for an even number.

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