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Original Articles

Antiderivative series for differentiable functions

Pages 725-731 | Received 01 Oct 2003, Published online: 20 Feb 2007
 

Abstract

A series defining the antiderivative of an nth order differentiable function is defined. This series provides an explicit expression for the second part of the Fundamental Theorem of Calculus and can facilitate the establishment of new antiderivative functions.

Acknowledgment

The author is pleased to acknowledge the critical, and detailed, comments made by one reviewer which resulted in an improved paper.

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