1. The problem statement, all variables and given/known data We know sin(z) has zeros at integral multiples of pi. Let f(z) = z2/sin2(z) How do I find the integral of f(z) dz around C1 (C1 is the circle |z| = 1 orientated anti-clockwise) and how do I find the integral of f(z) dz around C2 (C2 is the circle |z - pi| = 1 orientated anti-clockwise). 2. Relevant equations 3. The attempt at a solution Do I use the Cauchy Integral formula for these integrals. If not, how would I go about doing these.