2- 2 R 00 1 dy using Cauchy's Residue Theorem, we use a sector of a circle of radius R as the contour as shown above(Eventually R To evaluate the improper integral + 125 will tend to infinity). What...

Extracted text: 2- 2 R 00 1 dy using Cauchy's Residue Theorem, we use a sector of a circle of radius R as the contour as shown above(Eventually R To evaluate the improper integral + 125 will tend to infinity). What is the minimum value of the angle X in degrees that works for the purpose? [If your answer is 10 degrees, you just have to input: 10]