对称性性质简化一类定积分计算问题研究

摘要

Symmetry is significant of important in mathematics and more extended region and it can simplify calculus calculation. In this paper we systematically explore a class of definite integral calculation by symmetry of integral interval itself and properties of symmetry.%对称性在数学及其更广泛的领域有着重要的意义，在微积分计算中，对称性有着重要的简化运算作用．本文将根据积分区间自身的对称性利用对称性性质对一类定积分计算问题作深入系统的探讨．