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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/2011/paper-1/1/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 / 2011 / Paper 1 / 1 / Solution by

Codex  0 2026-10-18

An antiderivative of

sin x

is

- cos x

. The fundamental theorem of calculus gives

\int_{0}^{π /2} sin x d x = [- cos x]_{0}^{π /2} = 1.

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