Question: Evaluate R C z dz, where C is the unit circle traversed in the anticlockwise direction. (Hint: the circle is parametrized by z(t)= e it

Evaluate R C z dz, where C is the unit circle traversed in the anticlockwise direction. (Hint: the circle is parametrized by z(t)= e it = cos(t)+ isin(t) for t in [0,2].)

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