What are the most important applications of improper integrals, in particular to computer science and related fields, and to technology and engineering in general?

I know that improper integrals are very common in probability and statistics; also, the Laplace transform, the Fourier transform and many special functions like Beta and Gamma are defined using improper integrals, which appear in a lot of problems and computations. But what about their direct, practical applications in real life situations?

Any insight is much appreciated!


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