In this lesson, we learn about the natural logarithm function, which is defined as the integral of 1/t dt. We explore its properties, such as its domain, range, and algebraic properties, and we examine its limits as x approaches infinity and as x approaches 0 from the right. We also see how the natural log function can be used in integration, and we learn about the derivative of a composition of the natural log function with another function u of x, which has a very special form. Overall, this lesson provides a comprehensive understanding of the natural logarithm function and its applications.
The natural log function defined as the integral of 1/t dt.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.