T 111 N 3 b LLL Absolutbeloppet i c n got r fel Let y be the unit circle z 1 with the usual counterclockwise orientation Evaluate the following integrals for m 0 1 2 m a z dz b z dz c Sz dz K Solution Set z e where 0 0 2 and thus dz ie de a c 2 z dz e m ie d i eime 0 C2 zmdx for e m ic 7 0 e imei ie do i ei m 1 de 1 m 1 2 if ei 1 m de 0 ei2 m 1 1 2 ei m 1 07 m 1 0 0 2 i e 1 m 07 1 t m m e 2x m 1 1 1 0 m 1 m 1 m 1 2 i m 1 2 2 eimo 1 S 2 d 10 0 2 1 0 0 zm dz eime de m 2 m 1 im im 0 0