Calculating integral using Laplace transforms. Evaluating integral of x^m (1-x)^n from 0 to 1 using convolution and Laplace transforms of functions, which is useful for engineering systems. I use a u sub and then apply the transform to power functions, which then turns it into a product of transforms. This is much faster and elegant than expanding and using the binomial theorem. There will be factorials involved and I also mention an extension to gamma functions. This is a must-see for calculus students, engineers, mathematicians, and differential equations lovers.

0:00 Introduction
0:50 Convolution
4:00 Laplace transform
6:07 The answer

Convolution Intuition:    • Convolution Intuition  

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