Mathematics Tripos Papers

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Paper 2, Section III, E

Further Complex Methods | Part II, 2020

Evaluate

∫Cdzsin⁡3z\int_{C} \frac{d z}{\sin ^{3} z}∫C​sin3zdz​

where CCC is the circle ∣z∣=4|z|=4∣z∣=4 traversed in the counter-clockwise direction.

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