Approximating Catalan S Constant

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This is my first attempt to introduce another section "ОLYΜРΙАD" to my channel . In this video, we introduce the Dirichlet-beta function and focus on one of its special values - beta(2) - which is commonly referred ... [ \int_{0}^{\frac{1}{2}} \ln!\left(\sin\left(\frac{\pi x}{2}\right)\right),dx ] This problem looks ...

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[ \int_{0}^{\frac{1}{2}} \ln!\left(\sin\left(\frac{\pi x}{2}\right)\right),dx ] This problem looks ... In this video we show that the integral from 0 to 1 of arctan(x)/x dx is equal to the sum from n=0 to infinity of (-1)^n/(2n+1)^2.

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• [ \int_{0}^{\frac{1}{2}} \ln!\left(\sin\left(\frac{\pi x}{2}\right)\right),dx ] This problem looks ...
• In this video we show that the integral from 0 to 1 of arctan(x)/x dx is equal to the sum from n=0 to infinity of (-1)^n/(2n+1)^2.
• This is my first attempt to introduce another section "ОLYΜРΙАD" to my channel .
• In this video, we introduce the Dirichlet-beta function and focus on one of its special values - beta(2) - which is commonly referred ...

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