Evaluate the following integrals using residue theorem a 2 1 dz indz e 2 1 128 10 e b 2 2221dz d Sz 1 sizdz f S 2 1 2 sin z c 2 21 2 cos z Solution a Using the residue theorem and rule 1 d 2 i Bes zdz sinz 128 1dz tan z dz z 1 2 3 2 2 2mi lim sin z 2 i 1 2 i