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Enormous Integers « Azimuth - http://johncarlosbaez.wordpress.com/2012/04/24/enormous-integers/

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Sometimes math problems have unexpected answers. For example, consider the integral of this infinite product: displaystyle{ int_0^infty cos(2x) cos(x) cos(x/2) cos(x/3) cos(x/4) cdots , dx } The answer matches pi/8 up to its 43rd digit. But it’s not actually pi/8. Weird, huh? But it’s not a coincidence; there’s an explanation.

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