A binomial formula for evaluating integrals
Khristo N. Boyadzhiev
TL;DR
This paper introduces a binomial series transformation formula for integrals, enabling the evaluation of complex integrals through series expansion, with five practical applications demonstrated.
Contribution
It presents a novel binomial formula that converts integrals into series involving Taylor coefficients, facilitating easier evaluation of difficult integrals.
Findings
Effective series expansion for challenging integrals
Five practical applications demonstrated
Enhanced methods for integral evaluation
Abstract
In this paper we present a special formula for transforming integrals to series. The resulting series involves binomial transforms with the Taylor coefficients of the integrand. Five applications are provided for evaluating challenging integrals.
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