Complex Analysis: Dogbone Contour Example #3
Today, we evaluate the integral from -1 to 1 of sqrt(1-x^2)/(1+x^2). Tried to one take this video (this video is straight from the camera) so it's not as smooth as the others. Might try to do this more often as editing can take a while, and probably not worth it to correct minor mistakes or stumbles. I'll also have more time to film rather than edit, which is always a plus.

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Complex Analysis: Dogbone Contour Generalisation

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Complex Analysis: Integral of (1-cos(x))/x^2 using Contour Integration

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Complex Analysis: Double Keyhole Contour

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Complex Analysis: Dogbone Contour Example #2

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Complex Analysis: Integral of 1/(x^4+1) using Contour Integration

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Contour integration with a STUNNING result!

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The Strangest Integral In Math

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Complex Analysis: Integral of xsin(x)/(x^2+1) using Contour Integration

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The 4-Page Paper That Broke Mathematics

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Reinventing Entropy | Compression is Intelligence Part 1

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This integral looks crazy

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Complex Analysis: Gaussian Integral

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Study Finds Major Flaws in Our Model of the Universe and Physicists Can't Agree Why

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Complex Analysis L12: Examples of Complex Integrals

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Researchers thought this was a bug (Borwein integrals)

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Complex Analysis: Integral of log(x^2+1)/x^2

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Complex Analysis: Fancy Branch Cuts

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The most beautiful formula not enough people understand

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Complex Analysis: Integral of cos(x)/(pi^2-4x^2) using Contour Integration

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