Explore the mathematical reasoning behind the presence of π in the normal distribution formula in this 26-minute video. Delve into the classic proof, the Herschel-Maxwell derivation, and the connection between circles and the exponential function e^(-x^2). Gain insights into various approaches to the Gaussian integral, reflect on the proof's implications, and tackle a bonus problem. Learn from visual animations and expert explanations to deepen your understanding of this fundamental concept in statistics and mathematics.