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arXiv · 2502.12679

The Change of Variable Formula Integrals, do they have equal value?

Oswaldo Rio Branco de Oliveira
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Abstract

Assuming that the two integrals in the Change of Variable Formula for the Riemann integral on the real line are finite, one can rightfully ask if they have equal value. We give a positive answer to this question. The proof is very easy to follow and to keep in mind. The result is extended to improper Riemann integrals. Three examples are given.

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Oswaldo Rio Branco de Oliveira. 2025-02-18. The Change of Variable Formula Integrals, do they have equal value?. https://arxiv.org/abs/2502.12679

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