How to use Cauchy's Residue Theorem from Complex Analysis to evaluate real integrals. This is the second part of two and in this one, we will talk about improper integrals.
Part one can be found here: https://www.youtube.com/watch?v=O0Vkq7u580E
We have to remember that all concepts from Complex Analysis can be used in Real Analysis since the set of Real numbers is included in the set of Complex numbers. Here we can use the method that we used to solve complex integrals to solve real integrals.
The video will include concepts as:
► Cauchy's Residue Theorem
► Cauchy's Principal Value of an Integral
► Improper Integrals
LINK TO COMPLEX ANALYSIS PLAYLIST
https://youtube.com/playlist?list=PLraTC6fSWOiptqOd_rMhFk6mZM30l7SqQ
LINK TO CANVAS
https://drive.google.com/file/d/1L55TopSg3HdXzAdClcpBypk5GJiObQHW/view?usp=sharing
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TIMESTAMPS
00:00 - 00:25 Intro
00:25 - 03:03 Cauchy's Principal Value of an Integral
03:03 - 09:53 Example: Improper Integral of f(x)
09:53 - 11:27 Improper Integrals of f(x) *sin(mx) or f(x) cos(mx)
11:27 - 16:30 Example: Theory Improper Integrals of f(x) *sin(mx) or f(x) cos(mx)
16:30 - 17:00 Outro
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