Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

1.I.3F

Complex Analysis or Complex Methods | Part IB, 2005

State the Cauchy integral formula.

Using the Cauchy integral formula, evaluate

∫∣z∣=2z3z2+1dz\int_{|z|=2} \frac{z^{3}}{z^{2}+1} d z∫∣z∣=2​z2+1z3​dz

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