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Analysis of a Midpoint of a Line Segment

Let C denote the line segment from z = i to z= 1. By observing that, of all the points on that line segment, the midpoint is the closest to the origin, show that |∫c dz/z^4| ≤ 4 sqrt(2) without evaluating the integral.

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Solution Summary

The midpoint of a line segment is analyzed using an integral. The solution is detailed and well presented.