Complex Analysis: Theory and Applications · Problem 6.5.13

Taylor and Laurent Series — Howell & Matthews

Mathematics — Complex Analysis · cauchy-integral-formula

Problem

Evaluate

\int_C(z^2+1)^{-1}\sin z\,dz

along the following contours: ((a)) The circle

C_1^+(i)

. ((b)) The circle

C_1^+(-i)