An Insane Approach! The Fresnel integrals: sin(x^2) and cos(x^2) without complex analysis

Merch :v - https://teespring.com/de/stores/papaflammy Help me create more free content! =) https://www.patreon.com/mathable Visit my website! =) https://mathable.me/ German version: https://youtu.be/iOBU4wEOyKw Leibniz Rule: https://www.youtube.com/watch?v=wkh1Y7R1sOw UPDATE: https://youtu.be/cHUGjqHIP6c In today's video we are going to play around with the integral of e^(-ix^2) from -infinity to infinity. With this one integral we are going to be able to evaluate the two Fresnel integrals. But not in the complex way! Let's solve it by using algebraic methods and differentiation under the integral sign, also known as the Leibniz rule for integrals or Feynman integration. Have fun =)