How to Integrate ln⁴(x) / (1 + x²) from 0 to 1
7:40
YouTubeMental Math
How to Integrate ln⁴(x) / (1 + x²) from 0 to 1
In this video, we tackle a challenging definite integral: the integral from 0 to 1 of ln^4(x) divided by (1 + x^2). At first glance, this problem seems formidable, but the solution reveals a beautiful connection between geometric series, the Gamma function, and the Dirichlet beta function. We start by expanding 1/(1+x^2) into an infinite ...
3.8K views4 months ago
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