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We have obtained the theorems that theoretically allow, in the extended cases, to determine if a given function is a derivative function and, if it is so, to find its primitive function. In practice, only one of these theorems is commonly used: every continuous function is a derivative function. As for the actual calculation of the primitive functions, it is never done by means of a definite integral.

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Definite Integration Using Primitive Functions

  • 章节

  • 发表日期：

    2025年

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  • Rahul Jain

摘要

We have obtained the theorems that theoretically allow, in the extended cases, to determine if a given function is a derivative function and, if it is so, to find its primitive function. In practice, only one of these theorems is commonly used: every continuous function is a derivative function. As for the actual calculation of the primitive functions, it is never done by means of a definite integral.