Integration of Floor and Ceiling

Abstract

In this document, I try to explore the integration of integrals involving floor and ceiling functions in various ways, from basic integration of the floor and ceiling functions themselves to intermediate compositions of floor and ceiling with other standard functions. I also touch on accumulation functions of the same, providing generalized formulas and a glimpse of their graphs for convenience. On a tangent, I derive some bounds for the Reimann Zeta function for real values > 1. This paper is mostly meant as a record of my own exploration. WinterNox: Personal website