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arXiv · 1803.09633

Direct Proofs of the Fundamental Theorem of Calculus for the Omega Integral

C. Bryan Dawson·Matthew Dawson
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Abstract

When introduced in a 2018 article in the American Mathematical Monthly, the omega integral was shown to be an extension of the Riemann integral. Although results for continuous functions such as the Fundamental Theorem of Calculus follow immediately, a much more satisfying approach would be to provide direct proofs not relying on the Riemann integral. This note provides those proofs.

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BibTeXRIS

C. Bryan Dawson, Matthew Dawson. 2018-03-20. Direct Proofs of the Fundamental Theorem of Calculus for the Omega Integral. https://arxiv.org/abs/1803.09633

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