Paper 3, Section I, 5D5 \mathrm{D}5DComplex MethodsPart IB, 2009Use the residue calculus to evaluate (i) ∮Cze1/zdz\oint_{C} z e^{1 / z} d z∮Cze1/zdz and (ii) ∮Czdz1−4z2\oint_{C} \frac{z d z}{1-4 z^{2}}∮C1−4z2zdz,where CCC is the circle ∣z∣=1|z|=1∣z∣=1.