That was expected

Calculus Level 3

What if the average distance between a point chosen uniformly at random inside a unit square and the center of the square ?

1 6 ( 1 + 2 − ln ⁡ ( 2 ) ) {1\over 6} \left(1+\sqrt{2}-\ln(\sqrt{2})\right) 1 6 ( 2 − ln ⁡ ( 2 ) − 1 ) {1\over 6} \left(\sqrt{2}-\ln(\sqrt{2})-1\right) 1 6 ( 2 + ln ⁡ ( 2 − 1 ) ) {1\over 6} \left(\sqrt{2}+\ln(\sqrt{2}-1)\right) 1 6 ( 2 + ln ⁡ ( 1 + 2 ) ) {1\over 6} \left(\sqrt{2}+\ln(1+\sqrt{2})\right)

Romain Bouchard by Romain Bouchard , 34, France

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Apr 24, 2018

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