A geometric method to compute some elementary integrals
J. Scott Carter (University of South Alabama), Abhijit Champanerkar, (University of South Alabama)
TL;DR
This paper introduces a geometric approach to compute certain elementary integrals, specifically the area under power function curves between 0 and 1, using higher-dimensional arguments.
Contribution
It presents a novel geometric method leveraging higher-dimensional reasoning to evaluate elementary integrals more intuitively.
Findings
Successfully computes areas under power functions using geometric methods
Provides a higher-dimensional perspective on elementary integrals
Simplifies the calculation process for specific integrals
Abstract
An elementary, albeit higher dimensional, argument is used to compute the area under the power function curve between 0 and 1.
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Taxonomy
TopicsAnalytic Number Theory Research · Mathematical functions and polynomials · Mathematics and Applications