TMUA 2021 Paper 1 Q13 — Worked Solution

P1·Integration, Sequences & Series·6.5Official · 2021 · Q13

definite-integraltelescoping-sumtriangular-numbers

The function

f

is such that, for every integer

n

\int_{n}^{n + 1} f (x) d x = n + 1.

Evaluate

r = 1 \sum 8 (\int_{0}^{r} f (x) d x) .

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