| 变上限定积分的应用 |
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| 引用本文： | 楼宇同.变上限定积分的应用[J].南京航空航天大学学报,1986(4). |
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| 作者姓名： | 楼宇同 |
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| 摘 要： | 本文应用变上限定积分的基本性质,给出了定积分中值定理的新证明,並改进了有关结果,还指出了积分中值定理与微分中值定理、积分第一中值定理与积分第二中值定理之间的联系。最后还通过几个实例,给出了一个化有字母限的积分问题为微分学问题的有效方法。
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| 关 键 词： | 数学分析 积分 微分 中值定理 |
Application of a Variable Upper Limit Definite Integral |
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| Lou Yutong.Application of a Variable Upper Limit Definite Integral[J].Journal of Nanjing University of Aeronautics & Astronautics,1986(4). |
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| Authors: | Lou Yutong |
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| Abstract: | In this paper,using the properties of a variable upper limit definite integral,a new proof about the integral mean-value theorem is given and some results are improved.The relation between the mean-value theorems of differential calculus and integral calculus and the relation between the first and second mean-value theorem of integral calculus are pointed out.In the end,with some examples,a useful method for solving the integral (involving the letter limit) problem has been illustrated. |
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| Keywords: | mathematical analysis intergral differential mean-value theorem |
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