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Official 2023 Paper 1 · Q3

Paper 1CalculusNumber & counting

For any integer n≥0n\ge0,

∫nn+1f(x)dx=n+1.\int_n^{n+1}f(x)\dd x=n+1.

Evaluate

∫03f(x)dx+∫13f(x)dx+∫23f(x)dx+∫43f(x)dx+∫53f(x)dx.\int_0^3f(x)\dd x+\int_1^3f(x)\dd x+\int_2^3f(x)\dd x+\int_4^3f(x)\dd x+\int_5^3f(x)\dd x.
A−2-2
B00
C11
D44
E1818
F2727

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