Consider the circle C = {z : |2 - 1| = 1/2}, followed in the positive...

 

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Consider the circle C = {z : |2 - 1| = 1/2}, followed in the positive (anticlockwise) direction with initial point z = 1/2. Evaluate the integral dz c (22 - 1)1/2 (22 – given that the integrand is equal to the derivative of the function log(z + (z2 – 1)/2). Consider the circle C = {z : |2 - 1| = 1/2}, followed in the positive (anticlockwise) direction with initial point z = 1/2. Evaluate the integral dz c (22 - 1)1/2 (22 – given that the integrand is equal to the derivative of the function log(z + (z2 – 1)/2).