Feynman Integration Example 6 - Expressing n! as an Integral
Channel: The Feynman Technique
Date: 07/02/2024

https://www.youtube.com/channel/UCepKxh_j0SH2cw0nbY9FwZQ?sub_confirmation=1

This video explains how to express the factorial of n using an integral. We start with a basic function and its integral over an infinite range. Through differentiation and applying the Leibniz rule, we systematically work our way to a general formula that connects the nth derivative of our function to n factorial. The final step shows evaluating this integral at t=1 to directly link it to n factorial, illustrating a practical application of integration and differentiation techniques in solving complex mathematical problems.