摘要
计算重积分的基本方法是将重积分化为累次积分进行计算,而要计算累次积分,其关键是确定出累次积分(即单积分)的上下限,也就是如何用不等式组将积分区域表示出来。本文探讨在直角坐标系下如何将三重积分化为三次单积分来进行计算,主要探讨如何结合积分区域的图形将积分区域用不等式组表示出来。
The basic method of calculating multiple integral is to translate the multiple integral into successive integration, from here on to calculate this successive integration. So, for calculating the successive integration, it is very important to define the upper limit and lower limit of the successive integration, respectively, that is, it is very important to how to represent the integral region by using group of inequalities. In this paper, we investigate a method to represent the figure of a integral region with a group of inequalities.
出处
《云南师范大学学报(自然科学版)》
1999年第5期67-72,共6页
Journal of Yunnan Normal University:Natural Sciences Edition
关键词
直角坐标系
三重积分
累次积分
积分区域
计算法
Right angle coodinate system
Triple integral
Successive integration
Integral region
Region of XY form
Region of YX form
Group of inequalities
Interface of superior top
Interface of lower top