In this video, I calculate the double integral of arctan(y/x) over a circular wedge. The answer is surprisingly soothing and satisfying!

Today’s video is dedicated to introducing you to two of the holy grails of mathematics, proofs that e and pi are transcendental numbers. For the longest time I was convinced that these proofs were simply out of reach of a self-contained episode of Mathologer…

integral of cos(ln(x)) with u sub: @0:00
integral of cos(ln(x)) without u sub, @8:20
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integral of cos(ln(x)), by complex analysis: htt…

inverse sinh: https://youtu.be/_aqxprTMAso
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derivative of ln(sinh(x)) vs derivative of sinh(ln(x)),

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This is why the area is t/2 https://youtu.be/h-gKfQkHQSA

read more on hyperbolic…

Programa de Doutorado: Geometria Algébrica I - Aula 06 Professor: Roberto Mikhail Verbitskiy Aulas anteriores: https://goo.gl/pq2Y8Y Variedades afins e proje...