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25-05-2023
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Let C denote the line segment from z = i to z = 1 (Fig. 49), and show that |integral_C dz/z^4| lessthanorequalto 4 Squareroot 2 without evaluating the integral. Suggestion: Observe that of all the points on the line segment, the midpoint is closest to the origin, that distance being d = Squareroot 2/2.

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