TMUA 2023 Paper 1 Q3 — Worked Solution

P1·Integration·4.5Official · 2023 · Q3

definite-integraladditivityreversed-limits

For any integer

n \geq 0

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

Evaluate

\int_{0}^{3} f (x) d x + \int_{1}^{3} f (x) d x + \int_{2}^{3} f (x) d x + \int_{4}^{3} f (x) d x + \int_{5}^{3} f (x) d x .

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