对定积分应用方法的探讨

Research Into Applied Methods of Definite Integral

一般数学分析教材对“定积分的应用”内容的处理,在理论上不够严格,为弥补此缺陷,利用定积分的基本知识“牛顿-莱布尼兹公式”,给出了不但在理论上可靠,而且又便于操作的定积分应用方法——部分量函数微积分法.

The conduct of the content of definite integral application by usual mathematics analysis teachong materials is not strict enough in theory. To perfect it, this paper, by using the basic knowledge in definite integral Newton--Leibniz formula, offers an applied method of definite integral, partial quantity function infinitesimal calculus method, which is both theoretically reliable and easily applied.