再议重积分计算中积分限的确定  

The Study on Determination of the Integral Limit in the Calculation of the Multiple Integrals

作　　者：赵娟[1] 管梅[1] 

机构地区：[1]合肥学院数学与物理系,安徽合肥230601

出　　处：《科技视界》2016年第14期38-39,46,共3页Science & Technology Vision

基　　金：安徽省高等学校省级教学研究重点项目(2015jyxm320);安徽省高等学校省级教学研究项目(2015jyxm321)

摘　　要：在高等数学教学中,重积分的计算是教学重点亦是难点。而在重积分的计算中积分限的确定是关键,文中结合笔者的教学体会讨论重积分计算中积分限的确定问题。鉴于初学者易将积分限为变数的情形误当做积分限为常数的情况,文中重点讨论了积分区域为何种形状时,二次或者三次积分的各积分限才能都取常数。文中所做讨论的结果若为初学者借鉴,可有效避免在重积分的计算中出错。In the teaching of higher mathematics, the calculation of the integral is both the focus and difficult points. And the integral limit is the key in the calculation of the integral. The paper combines the author＇s teaching experience to discuss the problem of the determination of the integral limit. In view of the fact that the beginners to limit integral variable error as the limit of integral constant. In this paper focuses on the regional integral why shape, two or three points of the integral limit to are taking a constant. The results discussed in this paper can be used for reference for beginners, which can effectively avoid the error in the calculation of the multiple integrals.

关 键 词：重积分 二次积分 三次积分 积分限 积分区域 

分 类 号：O172.2[理学—数学]