A pattern of integrals that all equal pi...until they don't.
Next video on convolutions:    • But what is a convolution?  
John Baez has a really fun article about this: johncarlosbaez.wordpress.com/2018/09/20/patterns-t…

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Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Hindi: Pragna1991

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Original paper from David and Jonathan Borwein
carma.edu.au/resources/db90/pdfs/db90-119.00.pdf

Other fun coverage of the topic:
schmid-werren.ch/hanspeter/publications/2014elemat…

johncarlosbaez.wordpress.com/2018/09/20/patterns-t…

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

Timestamps
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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