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. ‎- Скажи это моей лошади