TITLE:
Why Is an Integral an Accurate Value?
AUTHORS:
Wenbing Wu, Xiaojian Yuan
KEYWORDS:
Integral, Infinitesimal, Curved Trapezoid, Accurate Value
JOURNAL NAME:
Applied Mathematics,
Vol.14 No.12,
December
13,
2023
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.