Functions and Analysis


Integration Technique Using Laplace Transforms. a Generalized Form of the Dirichlet Integral.

Authors: Federico Espil

The problem of integration technique over integrands of the form f(t)/t^n, can be solved by differentiation(n times) by using Leibniz's rule to get rid of t^n, that leads to integrate back (n times) to end the game which it's harder than the original problem.This work focuses on the derivation of the formula (Espil's theorem) which is a perfect tool to avoid that hard task. It allows to change the difficult n iterated integrals into a more outstanding easier problem which consists of n -1 derivatives.The Espil's theorem is a generalization of the Dirichlet integral. 

Comments: 9 Pages.

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Submission history

[v1] 2019-03-23 11:17:49

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