Integral with a third root: a look from different angles
In this video, we'll find the integral with the third root of (1-x^3) with limits from 0 to 1. We'll do this in two different ways to approach the problem from different perspectives.
In this video, find the integral of the rational fraction x/(x^3+1): • Интеграл от рациональной функции. Разложен...
Here's the derivation of the formulas for the gamma and beta functions: • Гамма-функция и бета-функция: вывод основн...
And here's a similar integral with the golden ratio in exponents: • Интеграл с золотым сечением и красивым отв...
And here, Sergey Frolov from the "Mathematical World" channel (@FrolovSergei) finds the integral with the fraction x/(x^3+1) with limits from 0 to +infinity using another method: • Как найти несобственный интеграл 1-го рода...
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