Reader Brief: 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. We count the number of ways to parkour across a triangular parkour course.

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We count the number of ways to parkour across a triangular parkour course. 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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  • 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.
  • We count the number of ways to parkour across a triangular parkour course.

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See Follow-Up Topics
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 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 Numbers in Minecraft

Catalan Numbers in Minecraft

We count the number of ways to parkour across a triangular parkour course. The result might surprise you at first, but once you ...

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 φ in Minecraft

Approximating φ in Minecraft

Read more details and related context about Approximating φ in Minecraft.

Very nice integral and answer with Catalan’s constant

Very nice integral and answer with Catalan’s constant

Integral x/tanx from 0 to pi/4 Integral ln sinx from 0 to pi/4 -

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.

Series Representations of Catalan’s Constant

Series Representations of Catalan’s Constant

Read more details and related context about Series Representations of Catalan’s Constant.