# Pagano's theorem. A generalized form of the Dirichlet integral involving Laplace Transforms techniques

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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 (Pagano'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 Pagano's Theorem is a generalization of the Dirichlet integral with a strong conection with Cauchy's residue theorem.

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APA

Federico, P (2020). Pagano's theorem. A generalized form of the Dirichlet integral involving Laplace Transforms techniques. Afribary.com: Retrieved January 20, 2021, from https://afribary.com/works/pagano-se-theorem-a-generalized-form-of-the-dirichlet-integral-involving-laplace-transforms-techniques

MLA 8th

Pagano, Federico. "Pagano's theorem. A generalized form of the Dirichlet integral involving Laplace Transforms techniques" Afribary.com. Afribary.com, 30 Aug. 2020, https://afribary.com/works/pagano-se-theorem-a-generalized-form-of-the-dirichlet-integral-involving-laplace-transforms-techniques . Accessed 20 Jan. 2021.

MLA7

Pagano, Federico. "Pagano's theorem. A generalized form of the Dirichlet integral involving Laplace Transforms techniques". Afribary.com, Afribary.com, 30 Aug. 2020. Web. 20 Jan. 2021. < https://afribary.com/works/pagano-se-theorem-a-generalized-form-of-the-dirichlet-integral-involving-laplace-transforms-techniques >.

Chicago

Pagano, Federico. "Pagano's theorem. A generalized form of the Dirichlet integral involving Laplace Transforms techniques" Afribary.com (2020). Accessed January 20, 2021. https://afribary.com/works/pagano-se-theorem-a-generalized-form-of-the-dirichlet-integral-involving-laplace-transforms-techniques