Uploaded November 2018 | Updated September 2026, 2 weeks ago

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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.

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Pre-reqs: The videos before this one on this playlist: youtube.com/playlist?list=PLdgVBOaXkb9CNMqbsL9GTWwU542DiRrPB
Improper Integral Video: youtube.com/watch?v=a2ocry6LBe0

Lecture Notes: drive.google.com/open?id=18w4I-qVTCKbkWqh_qk4H2KwrFRvIFwm1
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