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Why Is an Integral an Accurate Value?
School of Big Data, Fuzhou University of Foreign Studies and Trade, Fuzhou, China
School of Big Data, Fuzhou University of Foreign Studies and Trade, Fuzhou, China
- 1 School of Big Data, Fuzhou University of Foreign Studies and Trade, Fuzhou, China
- 2 School of Big Data, Fuzhou University of Foreign Studies and Trade, Fuzhou, China
Applied Mathematics·Volume 14 (2023)·Pages 847–850·Published 5 December 2023·DOI10.4236/am.2023.1412049
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Abstract
The derivative and integral in calculus are both exact values. To explain this reason, the integration interval can be infinitely subdivided. The difference in area between curved trapezoids and rectangles can be explained by the theory of higher-order infinitesimal, leading to the conclusion that the difference between the two is an infinitesimal value. From this, it can be inferred that the result obtained by integration is indeed an accurate value.
KeywordsIntegralInfinitesimalCurved TrapezoidAccurate Value
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