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
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APA
Pagano, F. (2026). Pagano's theorem. A generalized form of the Dirichlet integral involving Laplace Transforms techniques. Afribary. Retrieved June 14, 2026, from http://library.afribary.com/works/paganos-theorem-a-generalized-form-of-the-dirichlet-integral-involving-laplace-transforms-techniques
MLA
Pagano, Federico. "Pagano's theorem. A generalized form of the Dirichlet integral involving Laplace Transforms techniques." Afribary, 6 Jun. 2026, http://library.afribary.com/works/paganos-theorem-a-generalized-form-of-the-dirichlet-integral-involving-laplace-transforms-techniques. Accessed June 14, 2026.
Chicago
Pagano, Federico. "Pagano's theorem. A generalized form of the Dirichlet integral involving Laplace Transforms techniques." Afribary (2026). Accessed June 14, 2026. http://library.afribary.com/works/paganos-theorem-a-generalized-form-of-the-dirichlet-integral-involving-laplace-transforms-techniques