im trying to calculate the integral around the closed curve C of
z(bar) dz where z(bar) is the complex conjugate of z
where C is the unit circle.
Using the subsitution z = e^it i calculated the integral to be 0.
=> z(bar) = e^-it
However after finding the question in a maths book the answer is given to be 2pi(i).
Can any of ye tell me which solution is correct