| 分部积分法在重积分中的应用 |
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| 引用本文： | 丁介平.分部积分法在重积分中的应用[J].安徽广播电视大学学报,2004(3):124-125. |
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| 作者姓名： | 丁介平 |
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| 作者单位： | 安徽邮电职业技术学院,安徽,合肥,230031 |
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| 摘 要： | 本文通过对重积分计算的分析,认为可以不用交换积分的次序来计算,从而得到用分部积分法计算重积分的结论:∫Df(x,y)dxdy=xx∫y2(x)y1(x)F(x,y)dy]ba-∫bax,F(x,y2(x))y'2(x)-F(x,y'1(x))Y'1(x)]dx同时将结论予以推广,并通过具体例题说明其应用.
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| 关 键 词： | 分部积分 重积分 累次积分 |
| 文章编号： | 1008-6021(2004)03-0124-02 |
| 修稿时间： | 2004年6月30日 |
The Application of Integration by Parts to Double Integral |
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| DING Jie-Ping.The Application of Integration by Parts to Double Integral[J].Journal of Anhui Television University,2004(3):124-125. |
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| Authors: | DING Jie-Ping |
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| Abstract: | The author analyses the operation of double integral,and holds the view that without exchang-ing the sequence of integrals,the results of the double integral can be operated by integration by parts:Df(x,y)dxdy=xy2 (x)y1(x)F(x,y)dy]b a-b axF(x,y2(x))y'2(x)-F(x,y'1(x))y'1(x)]dx.Meanwhile,the conclusion can be put into wider use and its application is demonstrated by some examples in this article. |
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| Keywords: | integration by parts double integral iterates integral |
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