# Evaluation of integrals by differentiation with respect to a parameter

**Authors:** Khristo N. Boyadzhiev

arXiv: 1901.01249 · 2019-01-08

## TL;DR

This paper reviews a technique for evaluating difficult integrals through differentiation with respect to a parameter, demonstrating its effectiveness with numerous examples, including those from Gradshteyn and Ryzhik.

## Contribution

It introduces and illustrates a method of integral evaluation by differentiation, with new examples and applications to well-known integral tables.

## Key findings

- Effective technique for challenging integrals
- Successfully applied to Gradshteyn and Ryzhik integrals
- Provides a practical approach for integral evaluation

## Abstract

We review a special technique for evaluating challenging integrals by providing a number of examples. Many of our examples prove integrals from the popular table of Gradshteyn and Ryzhik.

---
Source: https://tomesphere.com/paper/1901.01249