COOL Dirichlet Integral. I calculate the integral of sin(x)/x from 0 to infinity using Feynman's technique and a cool and unexpected geometric series that involves differentiation and integration. Lots of multiples of pi involved. Related to the Fresnel integral. This method doesn't use any complex analysis and is suitable for any calculus student or anyone who loves math. Big thanks to Ian Fowler for recommending this technique, he's the person who inspired me to do the anti-Pythagorean theorem video.
Anti-Pythagorean Theorem: • the anti Pythagorean theorem?
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