-2 R To evaluate the improper integral 1 dy using Cauchy's Residue Theorem, we use a sector of a circle of radius R as the contour as shown y³ + 27 above(Eventually R will tend to infinity). What is...

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Extracted text: -2 R To evaluate the improper integral 1 dy using Cauchy's Residue Theorem, we use a sector of a circle of radius R as the contour as shown y³ + 27 above(Eventually R will tend to infinity). What is the minimum value of the angle X in degrees that works for the purpose?