Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 3, Section I, 5D5 \mathrm{D}5D

Complex Methods | Part IB, 2009

Use the residue calculus to evaluate (i) ∮Cze1/zdz\oint_{C} z e^{1 / z} d z∮C​ze1/zdz and (ii) ∮Czdz1−4z2\oint_{C} \frac{z d z}{1-4 z^{2}}∮C​1−4z2zdz​,

where CCC is the circle ∣z∣=1|z|=1∣z∣=1.

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