Some divergent trigonometric integrals

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dc.creatorTalvila, Erik
dc.date2001-01-02
dc.date.accessioned2026-07-07T04:39:28Z
dc.date.available2026-07-07T04:39:28Z
dc.descriptionSome 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.
dc.descriptionto appear in a slightly different version in Amer. Math. Monthly
dc.identifierhttps://arxiv.org/abs/math/0101011
dc.identifierhttp://arxiv.org/abs/math/0101011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60675
dc.subjectClassical Analysis and ODEs
dc.subject26A42
dc.titleSome divergent trigonometric integrals
dc.typetext

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