Researchers thought this was a bug (Borwein integrals)

Researchers thought this was a bug (Borwein integrals)

A curious pattern of integrals that all equal pi…until they don’t.
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Original paper from David and Jonathan Borwein

Other fun coverage of the topic:

Patterns That Eventually Fail

Correction: 4:12 The top line should not be there, as that integral diverges

0:00 – The pattern
4:45 – Moving average analogy
10:41 – High-level overview of the connection
16:14 – What’s coming up next

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Music by Vincent Rubinetti.

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