| 几种特殊类型二重积分的计算技巧 |
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| 引用本文： | 赵赫.几种特殊类型二重积分的计算技巧[J].衡水学院学报,2011,13(4):10-12. |
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| 作者姓名： | 赵赫 |
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| 作者单位： | 北京林业大学林学院,北京,100083 |
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| 摘 要： | 二重积分是高等数学的重点,也是难点,计算较为繁琐,有的二重积分需要一定的技巧才能求出.探讨了积分区域关于坐标轴对称、关于直线对称、积分区域是圆的一部分等特殊区域上二重积分的计算技巧,讨论了几类特殊被积函数二重积分的选择积分顺序的问题,研究了如何用轮换法求二重积分.
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| 关 键 词： | 二重积分 积分区域 被积函数 |
Several Calculating Techniques of Special Double Integral |
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| ZHAO He.Several Calculating Techniques of Special Double Integral[J].Journal of Hengshui University,2011,13(4):10-12. |
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| Authors: | ZHAO He |
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| Institution: | ZHAO He(College of Forestry,Beijing Forestry University,Beijing 100083,China) |
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| Abstract: | Double integral is the important and difficult point in advanced Mathematics.Its calculation is very complicated and some require certain techniques.This paper discusses some special calculating techniques concerning coordinates axis symmetry,beeline symmetry,and integral domain being part of a circle,etc.It analyzes the integral option order of double integral of some special integrand.It also studies how to calculate double integral with rotation method. |
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| Keywords: | double integral integral domain integrand |
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