The Relationship Between a Function, a Functions Inverse, and their Antiderivatives with an Emphasis in Finding Exact Roots with the Technique of Integration

2008/03/05 by Judah Unmuth-Yockey, Unmuth-Yockey, Judah Francis
Mathematics · #Algebraic and Geometric Analysis #FOS: Mathematics #General Mathematics (math.GM) #Iterative Methods for Nonlinear Equations #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.0803.0595

openalex publication_date 2008/03/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Using a new technique involving integration it is possible to find the exact roots of simple functions. In this case, simple functions are defined as smooth functions having an inverse, and that inverse having an antiderivative. This technique now makes it possible to find the exact roots of certain functions without the use of numerical or iterative methods.

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