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(b) Let f(z) = (z+ 1)(z -3- 2i) and C1, C2, C3 be the contours given as follows: - C1 is the line segment with

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(b) Let f(z) = (z+ 1)(z -3- 2i) and C1, C2, C3 be the contours given as follows: - C1 is the line segment with the initial point 2i and the end point -2i; - C2 is the half circle with centre at the origin and radius 2, starting at -2i and ending at 27, as shown in the figure; - C3 is the circle with centre at the origin and radius 3, oriented counterclockwise. iRA -22 Calculate the following integrals: (i) f (z) dz; (ii) Pojucz f(z)d (iii) Pc F (z )

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