摘要
三重积分是数学分析的重点和难点,给出并证明了积分区域关于坐标平面对称,被积函数关于某变量具有奇偶性的三重积分的计算技巧,进而给出并证明了积分区域关于任一平面对称,被积函数具有某些特性的三重积分计算技巧.
Triple integral is the key and difficult point in the mathematical analysis. The paper gives and proves thecalculation formula of triple integral of the integral region is symmetric on the coordinate plane, and the integrand oftriple integral has a parity on a variable. Then it gives and proves the calculation formula of triple integral of theintegral region is symmetric on a random plane and the integrand functions have certain properties.
作者
孙兰敏
岳亚楠
SUN Lanmin;YUE Yanan(College of Mathematics and Computer Science, Hengshui University, Hengshui, Hebei 053000, China;Education Bureau of Pingshan County, Pingshan, Hebei 053000, China)
出处
《衡水学院学报》
2016年第4期1-4,共4页
Journal of Hengshui University
关键词
积分区域
对称
平面
三重积分
integral region
symmetry
plane
triple integral
