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Home > Wen Yuan (High School Edition) > 2020 No.01 > 直角坐标系下二重积分的几种简便计算方法

  • 直角坐标系下二重积分的几种简便计算方法

    Author(s)：

    孙晓斐

    Publication Title：

    Wen Yuan (High School Edition) 2020 No.01

    Affiliations：

    石河子大学师范学院 新疆 石河子 832099

    Abstract：

    二重积分可用于求解空间立体体积和曲面面积,它在物理、化学等学科有着广泛的应用.尤其在物理力学中,二重积分有着不可代替的作用.研究二重积分的计算方法,并进行计算的简化可以给二重积分的应用带来方便.计算二重积分的常规算法是:将其化成累次积分再进行计算.在转化成累次积分时,积分顺序的选取非常重要,这是简化运算过程中非常重要的一个方面.但是,将二重积分转化为累次积分这一过程很繁琐,若从积分区域的对称性和被积函数的奇偶性入手,也可以进行二重积分的简便计算.所以,本文从这两个方面来看直角坐标系下的二重积分的简便计算方法.

    Keywords：

    积分顺序;对称性;奇偶性

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    [1] 孙晓斐.直角坐标系下二重积分的几种简便计算方法[J].Wen Yuan (High School Edition),2020(01),.

文渊(高中版)
Wen Yuan (High School Edition)

Language: 中文

CN：11-9276/G

ISSN：2096-6288

Publication Frequency: 月刊

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