Uploaded June 2021 | Updated September 2026, 5 hours ago

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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 used this identity in my latest Math and Minecraft episode.

You can see that episode here:
youtu.be/MpHxSUN8LFk

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Math and Minecraft: youtube.com/playlist?list=PLscpLh9rN1Rf-dqLO4r3GAwvm1O_xL7D1

Combinatorics Problems: youtube.com/playlist?list=PLscpLh9rN1RfNzyUsA_KzsfQ_k1AR9Ebs

Geometry Problems: youtube.com/playlist?list=PLscpLh9rN1RdFKjA3-vvTL_xG6s3YxB6r

Calculus Problems: youtube.com/playlist?list=PLscpLh9rN1Rcv3XYXq5Z0oXMEOVL-aocI

Calculus 2 Problems: youtube.com/playlist?list=PLscpLh9rN1RcqIZyidbChYLuMAdZhhEwN

Multivariable Calculus Problems: youtube.com/playlist?list=PLscpLh9rN1RcdbQLLvRItUxOMRKnbDJaw

Number Theory Problems: youtube.com/playlist?list=PLscpLh9rN1RfOeiBA6o4YSXtAWF3-3_AT

Linear Algebra Problems: youtube.com/playlist?list=PLscpLh9rN1Rfo0ifw9RZFoJ2Te2jk_pwX

Statistics Problems: youtube.com/playlist?list=PLscpLh9rN1RexwCjV9_1RmfluCTv5HKe1