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Past exam of the mathematics course of the University of Cambridge

2025

Paper 3

On the boundary the <integral> is $\int_{-\pi}^{\pi}\theta\,dy$. <Integration by parts> has zero endpoint term and leaves
$$
\boxed{-\int_{-\pi}^{\pi}y\,d\theta=-\int_{-\pi}^{\pi}(1+\cos\theta)\sin\theta\,d\theta=0.}
$$

Solution

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

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

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

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