A binomial formula for evaluating integrals

Khristo N. Boyadzhiev

doi:10.47443/dml.2022.013

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A binomial formula for evaluating integrals

Author(s)

Khristo N. Boyadzhiev Department of Mathematics, Ohio Northern University,Ada, Ohio 45810,USA

Abstract

In this paper, a special formula for transforming integrals to series is presented. The resulting series involves binomial transforms with the Taylor coefficients of the integrand. Five applications are provided for evaluating challenging integrals.

Publication Details

Page(s) 51-55

DOI 10.47443/dml.2022.013

Published Journal: Discrete Mathematics Letters, Volume: 10, Issue: 0, Year: 2022

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Keywords

harmonic numbers, binomial transform, trilogarithm, integral evaluation, dilogarithm, binomial identities