The Integration of the gaussian function
Deriving the infinite integration of the Gaussian function What is the Gaussian function? The Gaussian function is a function that has multiple purposes. The most common of which is the distributions across the normal. The other uses are: blurring or smoothening an image in a computer diffusion equations defining some neural networks Gaussian beams in optical systems, microwave systems and laser systems The Gaussian function is unique among functions in that it lacks elementary antiderivatives which means that the indefinite integral is an error function.. However this means that the evaluation of improper integrals is possible. The derivation of the improper integral or better known as the Gaussian integral is given in the picture below: https://www.sciencedirect.com/topics/engineering/gaussian-function https://math.stackexchange.com/questions/154968/is-there-really-no-way-to-integrate-e-x2
