在二重积分一般计算方法的基础上,着重讨论如何利用几何意义、对称性、交换积分次序来简化二重积分的计算。这对于数学理论的研究及二重积分的运算都有重要意义。
The general method for calculating double integral was derived and discussed.This paper mainly discusses how to utilize geometric meaning,symmetry and exchanging the order of integral in order to greatly simplify the calculation of double integrals.Therefore,it is very important to study mathematical theory and double integral calculation.