# Some unit square integrals

## TL;DR

This paper develops identities to evaluate multiple unit square integrals, providing new formulas and classical integral evaluations, including double integrals for constants and Ramanujan's integrals.

## Contribution

It introduces novel identities for evaluating multiple integrals and derives new and classical integral formulas using these identities.

## Key findings

- Derived identities for multiple unit square integrals
- Evaluated double and triple integrals explicitly
- Presented new expressions for Ramanujan's integrals

## Abstract

In this article we prove some identities which allow us to evaluate some multiple unit square integrals. In our examples we will give the value of some double and triple integrals. Then, we prove several classical integral formulas with the help of these identities and we present others that seems to be new. Finally we get double integrals for classical constants and different expression for two Ramanujan's integral formulas.