摘要
计算二重积分的常规方法是将二重积分化为二次积分，但有些二重积分用常规法求解时计算很繁琐．针对积分的特点，选择一些特殊方法求解，有时可以达到事半功倍的效果．该文主要讨论了被积函数为常数，积分区域关于坐标轴或直线y=x对称，被积函数仅含一个变量且原函数不是初等函数，可转化为概率问题的几类特殊二重积分的简化计算问题．掌握这些方法后，可以更方便快捷地计算二重积分。
The conventional method of calculating double integral is to divide double integral into quadratic integral, but some double integral calculation is very complicated by the conventional method. According to the characteristics of the integration, we select some special methods to solve the problems, and sometimes can achieve twice the result with half the effort. In this pa- per, we mainly discuss simplified calculation of some special double integrals, which contain the integrand is constant, integral ar- ea about an axis or line y =x symmetry, the integrand function contains only one variable and the original function is not elemen- tary function, double integral that can be transformed into the probability problem. Mastering these methods, you can calculate double integral more comfortably and quickly.
作者
毕学慧
刘华明
BI Xue-hui, LIU Hua-ming （School of Computer and Information Engineering, Fuyang Teachers College, Fuyang 236037, China）
出处
《电脑知识与技术》
2017年第8期214-215,237,共3页
Computer Knowledge and Technology
基金
安徽省教研项目（2015jyxm222）
安徽省教研项目（2016jyxm0755）
关键词
二重积分
简化计算
函数
double integral
simplified calculation
function
