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Evaluate each of the following contour integrals. Use whatever method is appropriate, such as direct computation, fundamental theorem of calculus (use an antiderivative), Cauchy-Goursat theorem, principle of deformation of paths, Cauchy integral formula, or extended Cauchy integral formula. (i) âˆ«(Kp dz), C is the line from 0 to â‰¥3+1. (ii) âˆ«(Jc 7+Td), C is the positively oriented square with vertices 2, 2 + 2i, -2 + 2i, -2. (iii) âˆ«(Jc 22 944), C is the positively oriented square with vertices 2, 2 + 2i, -2 + 2i, -2. (iv) âˆ«(Jo:" +2) d, Let C be the octagon formed by connecting the Sth roots of unity with line segments. Then C is the contour from exp(in/4) which traverses sides of C clockwise. (v) âˆ«(dz), C is the unit circle |z - 1| = 1, positively oriented (n is a positive integer).

          Evaluate each of the following contour integrals. Use whatever method is appropriate, such as direct computation, fundamental theorem of calculus (use an antiderivative), Cauchy-Goursat theorem, principle of deformation of paths, Cauchy integral formula, or extended Cauchy integral formula.

(i) âˆ«(Kp dz), C is the line from 0 to â‰¥3+1.
(ii) âˆ«(Jc 7+Td), C is the positively oriented square with vertices 2, 2 + 2i, -2 + 2i, -2.
(iii) âˆ«(Jc 22 944), C is the positively oriented square with vertices 2, 2 + 2i, -2 + 2i, -2.
(iv) âˆ«(Jo:" +2) d, Let C be the octagon formed by connecting the Sth roots of unity with line segments. Then C is the contour from exp(in/4) which traverses sides of C clockwise.
(v) âˆ«(dz), C is the unit circle |z - 1| = 1, positively oriented (n is a positive integer).

evaluate each of the following contour integrals use whatever method is appropriate such as direct computation fhindamental theorem of calculs use an antiderivative cauchy goursat theorem p 08998

Added by David V.

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