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Answer on Complex Analysis Question for Han

Question #13343
Find integral: int(dz/z) on curve C={z=x+iy| abs(z-2)=1 oriented clockwise}
Expert's answer
function 1/z has a pole at the point z=0. So If our curve does not contain this point. the integral equals to zero. our circle |z-2|=1 is centered at point 2, with radius 1, So point z=0 is outside our curve.
So, int (dz/z) = 0.

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