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Complex Analysis: Double Keyhole Contour

Today, we use contour integration to integrate 1/(x*sqrt(x^2-1)) from 1 to infinity.

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Complex Analysis: Logarithms and Branch Cuts
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Complex Analysis: Logarithms and Branch Cuts

Complex Analysis: Dogbone Contour Example
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Complex Analysis: Dogbone Contour Example

My favorite contour integration problem!
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My favorite contour integration problem!

Complex Analysis: Dogbone Contour Example #2
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Complex Analysis: Dogbone Contour Example #2

Complex integration, Cauchy and residue theorems | Essence of Complex Analysis #6
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Complex integration, Cauchy and residue theorems | Essence of Complex Analysis #6

Understanding branch cuts: f(z) = (a²-z²)^½
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Understanding branch cuts: f(z) = (a²-z²)^½

An Insane Keyhole Contour Integral
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An Insane Keyhole Contour Integral

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

2 ridiculously awesome log integrals solved using contour integration
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2 ridiculously awesome log integrals solved using contour integration

ADVANCED Contour Integration 14 (Lecture 17)
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ADVANCED Contour Integration 14 (Lecture 17)

2026 Fields Medal: Hong Wang
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2026 Fields Medal: Hong Wang

A wonderful application of contour integration
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A wonderful application of contour integration

Complex Analysis: Dogbone Contour Example #3
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Complex Analysis: Dogbone Contour Example #3

The Scariest Chart in Electrical Engineering
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The Scariest Chart in Electrical Engineering

Contour Integrals: A Complex Proof of Reflection Formula
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Contour Integrals: A Complex Proof of Reflection Formula

Nobody Explained the Schrödinger Equation Like THIS!
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Nobody Explained the Schrödinger Equation Like THIS!

Complex Logarithm, Branch Points, and Branch Cuts
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Complex Logarithm, Branch Points, and Branch Cuts

How (and why) to take a logarithm of an image
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How (and why) to take a logarithm of an image

Complex Integration Using Branch Cuts
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Complex Integration Using Branch Cuts

The fresnel integrals solved using contour integration
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The fresnel integrals solved using contour integration

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