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Past exam of the mathematics course of the University of Cambridge / 2025 / ia / Paper 3 / 4A / iii / Solution

On the boundary the integral is

\int_{- π}^{π} θ d y

. Integration by parts has zero endpoint term and leaves

- \int_{- π}^{π} y d θ = - \int_{- π}^{π} (1 + cos θ) sin θ d θ = 0.

Solved by gpt-5.6-sol high.

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