2 ridiculously awesome log integrals solved using contour integration

FINALLY! Yes finally you see me doing contour integration. Although I love real techniques and honestly they yield beautiful mechanisms of getting the job done, there are times when contour integration seems irresistible. This is one of those times.

The Dirichlet integral: integral of sinx/x from -ve to +ve infinity using contour integration
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The Dirichlet integral: integral of sinx/x from -ve to +ve infinity using contour integration

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

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

Using Feynman's technique TWICE! (the integral of sin^3(x)/x^3 from 0 to inf)
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Using Feynman's technique TWICE! (the integral of sin^3(x)/x^3 from 0 to inf)

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

Contour integration with a STUNNING result!
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Contour integration with a STUNNING result!

This epic integral is the best thing you'll see today!
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This epic integral is the best thing you'll see today!

An Insane Keyhole Contour Integral
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An Insane Keyhole Contour Integral

The Dirichlet Integral is destroyed by Feynman's Trick
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The Dirichlet Integral is destroyed by Feynman's Trick

Is this a paradox? (the best way of resolving the painter paradox)
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Is this a paradox? (the best way of resolving the painter paradox)

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

How 𝑒 Was Discovered
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How 𝑒 Was Discovered

A ridiculously awesome double integral with an epic result!!!
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A ridiculously awesome double integral with an epic result!!!

An integral solved by Residue Theorem
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An integral solved by Residue Theorem

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

A beautiful result in calculus: Solution using complex analysis ( Integral cos(x)/(x^2+1) )
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A beautiful result in calculus: Solution using complex analysis ( Integral cos(x)/(x^2+1) )

Feynman's Technique of Integration
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Feynman's Technique of Integration

A stellar integral solved using some wonderful complex analysis
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A stellar integral solved using some wonderful complex analysis

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

Complex Analysis L12: Examples of Complex Integrals
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Complex Analysis L12: Examples of Complex Integrals

Stabilizing an Unseen Triple Pendulum
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Stabilizing an Unseen Triple Pendulum

INSANELY beautiful integral!
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INSANELY beautiful integral!

Everything YOU Need to Know for Contour Integration (Parts 1-4)
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Everything YOU Need to Know for Contour Integration (Parts 1-4)

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

How to do two (or more) integrals with just one
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How to do two (or more) integrals with just one

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

Contour Integration #8 - Integral of sqrt(x)/(x^2 + 6x + 8)
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Contour Integration #8 - Integral of sqrt(x)/(x^2 + 6x + 8)

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

The legendary A5 Putnam integral: Richard Feynman vs Weierstrass
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The legendary A5 Putnam integral: Richard Feynman vs Weierstrass

Integral of 1/x^4+1 from 0 to infinity
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Integral of 1/x^4+1 from 0 to infinity