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Integral of a Semicircle and Segment

F(z) = z - 1 and C is the arc from z = 0 to z = 2 consisting of
(a) the semicircle z = 1 - e^(iθ) (pi ≤ θ ≤ 2pi)
(b) the segment 0 ≤ x ≤ 2 of the real axis.

Find the integral ∫c f(z) dz for the two cases.

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The Integrals of a Semicircle and Segment are found. The solution is detailed and well presented.

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