Published 2025-08-08
DOI:
https://doi.org/10.71712/x9e1-4t48Keywords
- Definite integrals,
- improper integrals,
- exponential generating functions,
- integral evalution,
- infinite series
- central binomial coefficients ...More
Copyright (c) 2022 Scientia Series A: Mathematical Sciences

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Stewart, S. M. (2025). Using exponential generating functions to evaluate definite integrals. Scientia Series A: Mathematical Sciences, 32, 99-133. https://doi.org/10.71712/x9e1-4t48
Abstract
Numerous examples where various types of de nite integrals evaluated using a technique exploiting exponential generating functions are presented. We show how some classically famous but tricky integrals can be readily found using such an approach. Brief historical remarks on some of the more notable integrals considered are made. Application of some of the integrals found to a class of classically important series containing the central binomial coefficients are given.
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