定积分定义及几何意义应用浅析  

Precise Definition of Definite Integral and Application of Geometrical Meaning

作　　者：陈延德[1] 周卫娜[2] 马海腾[1] 

机构地区：[1]天津天狮学院基础部,天津301700 [2]中国民航大学理学院,天津300300

出　　处：《甘肃联合大学学报（自然科学版）》2009年第S2期9-11,共3页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：首先给出了定积分的精确定义,分析了定义中两个任意的必要性及其灵活的应用,又结合例题给出了定积分几何意义的应用,最后结合零测度集给出了一个定积分存在的充要条件.In this paper,a precise definition of definite integral and analyse the flexible application were given.We use some examples to explain a application of geometrical meaning,at last a necessary and sufficient condition of definite integral were given.

关 键 词：定积分 子区间 任意 零测度集 

分 类 号：O172.2[理学—数学]