Evaluate the contour integral where

I keep getting but the answer should be , what am i doing wrong?

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- Apr 25th 2013, 04:58 AMCuriosityCabinetContour integral
Evaluate the contour integral where

I keep getting but the answer should be , what am i doing wrong? - Apr 25th 2013, 05:07 AMProve ItRe: Contour integral
The contour is the half circle centred at the origin of radius 1 starting at and ending at , so a decent parameterisation is , therefore

I agree with your answer - unless your contour is oriented in the other direction... - Apr 25th 2013, 05:28 AMCuriosityCabinetRe: Contour integral
The solutions talk about how Log z is not holomorphic on and that intersects with this branch cut. Also in the solutions they integrated directly without parametrising. I wonder how it would work with a parametrisation?