1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution I did (i) by breaking the integrand into partial fractions and then using the Cauchy Integral Formula for each integral. I got the correct answer. What does (ii) even mean? WHat does it mean to integrate "around each singularity separately"? The singularities are i and -i but I figure the only way to do this is partial fractions. Any help would be great.