In this video I go over logarithms but this define natural logarithms using integrals through the Fundamental Theorem of Calculus. In my previous videos I went over the definition of the logarithm as an inverse to the exponential function but the definition I go over in this video is more concrete and better suited when dealing with derivatives and integrals.
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Natural Logarithms Defined as Integrals: Introduction
Previously logarithmic functions were defined as inverse functions to exponential functions:
A better definition is to use the Fundamental Theorem of Calculus and go from there.
Definition:
The Natural Logarithmic function is defined by:
