Integral 1/x^n + 1 from 0 to infinity

Описание к видео Integral 1/x^n + 1 from 0 to infinity

In this video, courtesy of Andy Gregory, I calculate the integral of 1/(x^n + 1) from 0 to infinity, but this time without using complex analysis! The calculation relies on transforming the integral into a special function (the Beta function) and by using Euler's reflection formula. All this is done in roughly 10 minutes!

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