对称性在定积分中的应用

The Application of the Symmetry in Definite Integral Calculus

归纳总结了对称性在计算定积分中的妙用,使一些较复杂的计算变得简单,并对对称性不明确的怎样通过构造对称性化简积分问题作了研究。

This paper summarizes extraordinary effects of the symmetry on computing definite integral calculus, which make complicated calculation simplified. And then it illustrates with examples how to. help those without explicit symmetry construct the symmetry, thus simplifies the integral calculus.