Why does pi show up here? | The Gaussian Integral, explained
Support me on Patreon! / vcubingx Join my discord server! / discord The Gaussian Integral is a term that describes the area under a normal distribution of mean 1. This value is equal to the square root of pi. In this video, I go over the hidden circle behind this, using a bit of multivariable calculus. Hope you enjoy! Follow Me! / vcubingx https://github.com/vivek3141 / vcubingx Music by Chillhop: http://chillhop.com/listen sadtoi - Jeux D'eau https://chll.to/60d3efc2 Philanthrope, mommy - embrace https://chll.to/7e941f72 #calculus #gaussian #integral This video was animated using manim: https://github.com/3b1b/manim Source code for the animations: https://github.com/vivek3141/videos

▶︎
Why π is in the normal distribution (beyond integral tricks)

▶︎
The million dollar equation (Navier-Stokes equations)

▶︎
How Laplace solved the Gaussian integral

▶︎
The Gaussian Integral is DESTROYED by Feynman’s Technique

▶︎
Why does every mammal get 1 billion heartbeats in their life?

▶︎
Complex Integration and Finding Zeros of the Zeta Function

▶︎
The Pattern Nobody Can Prove (But Everyone Believes)

▶︎
A horizontal integral?! Introduction to Lebesgue Integration

▶︎
How to do two (or more) integrals with just one

▶︎
Why hyperbolic functions are actually really nice

▶︎
But what are Hamming codes? The origin of error correction

▶︎
Alexander Mercouris: NATO gerät bald in Panik und riskiert Krieg mit Russland

▶︎
Why is there a Pi (π) in This Gaussian Integral?

▶︎
Programmiert dein Unterbewusstsein im Schlaf neu - Das stärkste Audio für deinen Quantensprung

▶︎
The Amazing Spider-Man 2: Sony's Greatest Failure

▶︎
This isn't a Circle - Why is Pi here?

▶︎
A crazy approach to the gaussian integral using Feynman's technique

▶︎
Someone can’t get you off their mind… let’s find out why 🔮 timeless pick a card tarot reading

▶︎
What does it mean to take a complex derivative? (visually explained)

▶︎
