How to Integrate Fourier Integrals | Complex Variables скачать в хорошем качестве

How to Integrate Fourier Integrals | Complex Variables

In this video, I demonstrate the technique of performing improper Fourier integrals using the methods of Complex Variables. The technique involves setting up a semicircular contour, and using a combination of the Residue Theorem and Jordan's Lemma to eventually compute the integral. I begin by explaining the 5-step process in solving problems involving a Fourier integral (i.e. when you're integrating f(x)*cos(ax) or f(x)*sin(ax)) with infinite limits. After explaining the process, I apply it to a simple example problem. Questions/Requests? Let me know in the comments! Pre-reqs: The videos before this one on this playlist:    • Complex Variables and Functions   Improper Integral Video:    • Computing Improper Integrals using the Res...   Lecture Notes: https://drive.google.com/open?id=18w4... Patreon: https://www.patreon.com/user?u=4354534 Twitter:   / facultyofkhan   Special thanks to my Patrons for supporting me at the $5 level or higher: James Mark Wilson Marcin Maciejewski Sabre Jacob Soares Yenyo Pal Lisa Bouchard Bernardo Marques Connor Mooneyhan Richard McNair Guillaume Chereau Patapom Elm Mara