浅谈重积分的换元积分法  

On exchange element integral method for multiple integrals

作　　者：陆宜清[1] 

机构地区：[1]河南牧业经济学院信息工程系,河南郑州450000

出　　处：《南阳师范学院学报》2015年第6期46-49,共4页Journal of Nanyang Normal University

摘　　要：换元积分法是高等数学中的重点、难点内容.本文以定积分换元法为基础,介绍一种重积分的换元法,给出了重积分换元积分法的一般步骤.同时得出二重积分、三重积分的换元积分公式,并举例说明了重积分换元积分法的应用.Integration by substitution is an emphasis and difficulty in higher mathematics. This paper,taking the substitute method as the foundation,introduces an integration by substitution in multiple integrals and puts forward the general steps of integration by substitution in multiple integrals. At the same time,it demonstrates the element exchange formula for double integrals and triple integrals of which the application is illustrated through an example.

关 键 词：换元积分法 重积分 极坐标 柱面坐标 球面坐标 积分变量 

分 类 号：O172[理学—数学]