Lecture 10|Integration Along Indented Contours| Second Example| Theta Classes

In this lecture we are going to evaluate an improper integral by the method of residuals to find Cauchy Principal Value of that integral. Apart from solving an integral we also going to learn how to find roots of unity and then we see how to form a contour when poles of the integrand lies on the real axis. If any step is not clear to any student then do mention it in the comment section. Keep connected with the Theta Classes to study various topics of higher mathematics.