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Multivariate Function Parity in the Application of Integral Calculation
Author(s): 
Pages: 27-29
Year: Issue:  1
Journal: Yinshan Academic Journal

Keyword:  多元函数奇偶性积分计算;
Abstract: 一元函数的定积分,当被积函数为奇(偶)函数时,同时积分区间对称时其计算是非常简单的,同样在二重积分、三重积分、曲线积分、曲面积分计算过程中也常常遇到积分区域具有对称性,而被积函数具有某种奇偶性,对这类积分使用一般的常规解法将十分麻烦,有时甚至不可能.对此,尝试将一元函数奇(偶)函数在对称区间上的定积分性质推广到这类积分上,通过相关定理和实例进行验证说明,该推广在一定程度上会使这类积分的计算得到简化.
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