A Study of an Integral Related to the Logarithmic Function with Maple

Abstract

This paper studies the integral problem related to the logarithmic function. We can determine the analytic form of this type of integral mainly using the integration term by term theorem. Moreover, two examples are proposed to do a calculation practically. The research methods adopted in this paper is to find solutions through manual calculations and verify the answers using Maple. This type of research method not only allows the discovery of calculation errors, but also helps modify the original directions of thinking from manual and Maple calculations.
Key Words: integral; logarithmic function; analytic form; integration term by term theorem; Maple