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Complex Analysis: Viewer Suggests INSANE Integral

Today, we evaluate one spicy integral using a rectangular contour. Integral of xsin(x)/(1+a^2-2acos(x)) from 0 to pi.

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Complex Analysis: Integral of log(sin(x))
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Complex Analysis: Integral of log(sin(x))

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

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

Complex Analysis: Gaussian Integral
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Complex Analysis: Gaussian 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

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

2026 Fields Medal: Yu Deng
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2026 Fields Medal: Yu Deng

Complex Analysis: An Integral from @Michael Penn
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Complex Analysis: An Integral from @Michael Penn

Complex Analysis: Integral of 1/(x^n+1) feat. pizza contour
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Complex Analysis: Integral of 1/(x^n+1) feat. pizza contour

General relativity from first principles – Adam Brown
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General relativity from first principles – Adam Brown

Complex Analysis: Fresnel Integrals
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Complex Analysis: Fresnel Integrals

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

This integral looks crazy
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This integral looks crazy

Taylor series | Chapter 11, Essence of calculus
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Taylor series | Chapter 11, Essence of calculus

The Simple Math Problem Nobody Could Solve
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The Simple Math Problem Nobody Could Solve

Complex Analysis: A Bromwich Contour Lemma
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Complex Analysis: A Bromwich Contour Lemma

The Core of Differential Forms
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The Core of Differential Forms

Jon Ossoff Destroys Pete Hegseth; Elon Musk Mocked for AI Odyssey After MAGA Meltdown: A Closer Look
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Jon Ossoff Destroys Pete Hegseth; Elon Musk Mocked for AI Odyssey After MAGA Meltdown: A Closer Look

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

I Hacked This Temu Router. What I Found Should Be Illegal.
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I Hacked This Temu Router. What I Found Should Be Illegal.

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