Some divergent trigonometric integrals

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Some divergent trigonometric integrals have appeared in standard tables for many years, listed as converging. We give a simple proof that these integrals diverge and trace their history. The original error was made when a (startlingly) famous mathematician incorrectly differentiated under the integral sign with some convergent integrals that depend on a paramater.
to appear in a slightly different version in Amer. Math. Monthly

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Classical Analysis and ODEs, 26A42

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http://salesiana.dossiersoluciones.com/handle/123456789/60675

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0101011
 http://arxiv.org/abs/math/0101011

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arXiv