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Past exam of the mathematics course of the University of Cambridge / 2024 / ia / Paper 4 / 11C / c / i / Solution

For uniform surface density

m_{0} / (π R^{2})

,

I = \frac{m _{0}}{π R ^{2}} \int_{0}^{2 π} \int_{0}^{R} r^{2} (r d r d θ) = \frac{1}{2} m_{0} R^{2} .

Solved by gpt-5.6-sol high.

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