| 三重积分求解方法的深入探究 |
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| 引用本文： | 周俊.三重积分求解方法的深入探究[J].荆门职业技术学院学报,2010,25(7):38-41. |
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| 作者姓名： | 周俊 |
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| 作者单位： | 长江大学,信息与数学学院,湖北,荆州,434023 |
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| 基金项目： | 湖北省教育厅重点项目(A类) |
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| 摘 要： | 文章分析三重积分的求解方法,重点研究了柱面坐标变换和球面坐标变换以及利用积分区域的对称性和被积函数的奇偶性求解三重积分。通过探究得出：定理的相互结合和方法的灵活选择是求解三重积分的关键所在。
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| 关 键 词： | 三重积分 柱面坐标变换 球面坐标变换 对称性 |
Study on the Methods for Solving Triple Integrals |
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| ZHOU Jun.Study on the Methods for Solving Triple Integrals[J].Journal of Jingmen Vocational Technical College,2010,25(7):38-41. |
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| Authors: | ZHOU Jun |
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| Institution: | ZHOU Jun (School of Information and Mathematics,Yangtze University,Jingzhou,Hubei,434023,China) |
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| Abstract: | This paper deeply analyses the solving method of triple integrals,mainly studys the transformation of cylinder coordinates and spherical coordinates;seriously discusses how to use the symmetry of integration domain and the parity of integrand to solve triple integrals.It can be concluded from them：the mutual combination of theorems and the flexible selection of methods are the keys to solve triple integrals. |
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| Keywords: | triple integrals cylinder coordinate transformation spherical coordinate transformation symmetry |
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