三重积分的计算 |
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引用本文: | 郑顶伟.三重积分的计算[J].科教文汇,2014(15):34-34. |
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作者姓名: | 郑顶伟 |
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作者单位: | 广西大学数学与信息科学学院,广西南宁530004 |
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摘 要: | 对某些特殊函数的三重积分利用∫∫∫Ωf(x,y,z)dv=∫R2R1 g(r)4πr2dr化为了定积分,结合例子说明其可以简化相应的计算。
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关 键 词: | 三重积分 定积分 球面坐标系 |
On the Calculation of Triple Integral |
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Authors: | Zheng Dingwei |
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Institution: | Zheng Dingwei |
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Abstract: | By using the formula ∫∫∫Ωf(x,y,z)dv= ∫R2R1 g(r)4πr2dr, the tripe integrals of some specific functions can be reduced into the definite integral. Meanwhile, some examples are given to illustrate that the calculation of triple integral can be simplified. |
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Keywords: | triple integral definite integral spherical coordinate system |
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