Why Is an Integral an Accurate Value?  

作　　者：Wenbing Wu Xiaojian Yuan Wenbing Wu;Xiaojian Yuan(School of Big Data, Fuzhou University of Foreign Studies and Trade, Fuzhou, China)

机构地区：[1]School of Big Data, Fuzhou University of Foreign Studies and Trade, Fuzhou, China

出　　处：《Applied Mathematics》2023年第12期847-850,共4页应用数学（英文）

摘　　要：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.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.

关 键 词：INTEGRAL INFINITESIMAL Curved Trapezoid Accurate Value 

分 类 号：O17[理学—数学]