二重积分简便运算的证明

The Proof of the Simple Operation of Double Integral

二重积分计算在数学、物理、化学等各学科中占有重要位置,研究其计算方法,可以给各学科相关应用带来方便.常规计算二重积分要将其化成累次积分再进行计算,这种方法对一类积分区域上的二元函数来说很繁琐,从这类函数的定义入手,研究其二重积分的简便计算。给出二元函数关于自变量的相对奇偶性定义,利用二元函数奇函数的性质计算二重积分,给出这种简便计算的证明。

Double integral calculation in various subjects such as mathematics,physics,chemistry,occupies an important position,its calculation method can bring convenience to interdisciplinary related applications.Conventional calculation into a double integral to the iterated integral calculation,this method for a class of integral area of binary function is very complex,this paper from the definition of this kind of function,the second simple calculation of double integral.This paper presents a binary function definition of the relative parity of independent variables,calculates the double integral by the property of the function of binary function,and gives the proof of this simple calculation.