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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: • Evaluating Real Integrals Part 1 | Proper ... 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 • Complex Analysis Lectures (Playlist) LINK TO CANVAS https://drive.google.com/file/d/1L55T... SUPPORT Consider subscribing, liking, or leaving a comment, if you enjoyed the video or if it helped you understand the subject. It really helps me a lot. 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 SOCIAL ► Follow me on Youtube: http://bit.ly/1NQhPJ9 ► Follow me on Twitter: / the_mathcoach HASHTAGS #TheMathCoach #ComplexAnalysis