Reference Summary: In this video, we introduce the Dirichlet-beta function and focus on one of its special values - beta(2) - which is commonly referred ... 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.

Approximating Catalan S Constant -

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

Important details found

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

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Approximating Catalan's Constant in Minecraft

Approximating Catalan's Constant in Minecraft

Read more details and related context about Approximating Catalan's Constant in Minecraft.

Approximating Catalan's Constant

Approximating Catalan's Constant

The Wolfram Demonstrations Project contains thousands of ...

Let's Prove a Catalan's Constant Identity

Let's Prove a Catalan's Constant Identity

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.

Approximating the Erdős-Borwein constant in Minecraft

Approximating the Erdős-Borwein constant in Minecraft

Read more details and related context about Approximating the Erdős-Borwein constant in Minecraft.

Catalan constant integral problem

Catalan constant integral problem

RMM(Romanin mathematical magazine) problem is solved. Hope you enjoyed! Amazing integral, isnt it?

Catalan's Constant

Catalan's Constant

Read more details and related context about Catalan's Constant.

Very nice integral and answer with Catalan’s constant

Very nice integral and answer with Catalan’s constant

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Beautiful integral resulting to Catalan constant

Beautiful integral resulting to Catalan constant

Can You Solve This Beautiful Integral? [ \int_{0}^{\frac{1}{2}} \ln!\left(\sin\left(\frac{\pi x}{2}\right)\right),dx ] This problem looks ...

(SCx38d) Catalan's Constant

(SCx38d) Catalan's Constant

In this video, we introduce the Dirichlet-beta function and focus on one of its special values - beta(2) - which is commonly referred ...

Magic of Catalan's Constant

Magic of Catalan's Constant

Dear Friends !! This is my first attempt to introduce another section "ОLYΜРΙАD" to my channel . If you like this, please don't forget ...