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Calculate each of the following integrals along the indicated contours. Make use of the theorem on path independence where appropriate. Show the computation and

 

Calculate each of the following integrals along the indicated contours. Make use of the theorem on path independence where appropriate. Show the computation and justify the steps. (a) fr(22 + 4z - i) dz along the line segment from z = 1 to z = -i. (b) fredz along the upper half of the circle |z| = 1 from z = 1 to z = -1. (c) fr 1/zdz for any contour in the left half-plane from z = 4i to z = -4i.

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a To compute the integral of fz 2z2 4z i along the line segment from z 1 to z i Lets parameterize th... blur-text-image

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