对称性在定积分及二重积分计算中的应用

The Symmetry for Calculating Definiting Integration and Double Integration

运用数学分析中的积分总结了对称性在积分运算中的应用,给出了对称性在定积分、二重积分运算中的有关定理以及应用;充分体现了对称性在积分运算中带来的方便,达到了简化积分运算的目的。这一点对于数学理论的研究及积分运算的解答都有重要意义。

The symmetry in the application of integral computing by the knowledge of mathematical analysis is discussed.At the same time,some relevant theorems by the symmetry theory of caculating the definiting integration and double integration are proved.It fully reflects the convenience on the symmetry of the integral operation,and simplify the purpose of computing points.Therefore,it is very important to study mathematical theory and integral calculation.