摘要
从一道考研试题入手,给出了当二重积分的被积函数或积分区域边界含x2-y2时的"双曲坐标变换"法.通过实例,对比说明该方法能够解决一类用直角坐标不易计算或不能计算的二重积分问题,并且可以运用到三重积分的计算上.
Starting by a question in the postgraduate entrance exam, we use the method of transformation to calculate the double integral of which the integrand and the boundary of the domain of integration contains the item x2 -- y2 . We assert that a type of double integrals cannot be calculated easily or technically in orthogonal coordinate, but in hyperbolic coordinate which can also be applied to the calculation of some triple integrals.
出处
《大学数学》
2014年第4期108-112,共5页
College Mathematics
基金
湖北省高等学校教学研究项目(2011037
2012052)
关键词
重积分
被积函数
积分区域
坐标变换
multiple integral
integrand
domain of integration
coordinate transformation
