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ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2021/paper-1/17/a/solution

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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2021 / Paper 1 / 17 / a / Solution by

Codex  0 2026-10-18

The fundamental theorem of calculus, using continuity of

f

near

x

, gives

\frac{d F}{d x} = f (x) .

The lower endpoint

a

is constant, so it contributes no additional term.

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