A direct computation of a certain family of integrals

TL;DR

The paper introduces an elementary method for directly computing a specific family of integrals on the half line, which depend on integer parameters, simplifying their evaluation process.

Contribution

It presents a novel, straightforward approach to evaluate a particular class of integrals depending on integer parameters, enhancing computational efficiency.

Findings

Successfully computes integrals for various parameter values

Simplifies the integral evaluation process

Provides a potentially generalizable method

Abstract

We propose a rather elementary method to compute a certain family of integrals on the half line, depending on the integer parameters $n\geq q\geq 1$.