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Proposition: Antiderivatives are Uniquely Defined Up to a Constant

Let $I$ be a real interval. The functions $F,G:I\to\mathbb R$ are antiderivatives of a continuous function $f:I\to\mathbb R$ if and only if $F-G=c$ is constant.

Table of Contents

Proofs: 1

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Proofs: 1
Propositions: 2

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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983