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Official papers

Official 2021 Paper 1 · Q13

Paper 1CalculusSequences & seriesFunctions & graphsNumber & counting

The function ff is such that, for every integer nn

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

Evaluate

∑r=18∫0rf(x) dx\sum_{r=1}^8\int_0^r f(x)\,\dd x
A3636
B8484
C120120
D165165
E204204
F288288

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