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.
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[abisheikvisagan]

Sir, why are we not taking semi circle like we did for log...is this how we need to do for other multi valued function

[subhasmrutipanda]

Sir contour integration involving branch point ke liye konsa video follow karu?

[Jhaashish.]

sir these lectures are for msc math matics or msc physics mtlb sir is level tk msc physics me aa skta h kya mathmatical physics ke paper me please answer sir

[nooreenshamiya]

Or dusre bhi questions h kya ap padha skte h

[harry-hoti]

Sir instead of complex analysis kindly upload tensor analysis lectures.

[vinayak]

Thank you, Sir for the lecture. Can you help me to solve this integral