Lecture 14 | Integration through a Branch Cut | Example 3 | Theta Classes

In this lecture we are going to solve an improper integral involving multi valued function of the type where power of z is not an integer. When multi valued function get involved an additional singularity named Branch point also get introduced and in order to avoid such type of singularity we take a contour named keyhole contour. After that we find poles and locate them in the z plane and then we simply apply Cauchy Residue Theorem. During this problem solving if any student finds that any step is not clear to him then do mention it in the comment section. Keep connected with Theta Classes to study various topics of higher mathematics.