| 积分中值定理逆定理的研究 |
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| 引用本文： | 何荣福.积分中值定理逆定理的研究[J].南平师专学报,2012(5):15-17. |
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| 作者姓名： | 何荣福 |
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| 作者单位： | 武夷学院数学与计算机系,福建武夷山354300 |
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| 摘 要： | 本文讨论积分中值定理是否具有逆定理,即函数f（x）在a,b]上连续,对（a,b）内的任意值c,是否存在一个区间α,β]a,b],使∫αβf（x）dx=f（c）（β-α）。文中对值c分三种情况给出相应的结论.
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| 关 键 词： | 连续 积分 中值定理 极值点 最值点 |
Research on Integral Mean Value Theorem Theorem |
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| HE Rongfu.Research on Integral Mean Value Theorem Theorem[J].Journal of Nanping Teachers College,2012(5):15-17. |
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| Authors: | HE Rongfu |
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| Institution: | HE Rongfu (Department of Mathematics and Computer Science,Wuyi University,Wuyishan,Fujian 354300) |
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| Abstract: | This paper discusses the integral mean value theorem has a theorem of inverse,that is Function f（x） is continuous in a,b], （a,b） within an arbitrary value c,Whether there is an intervalα,β]a,b],so that ∫βαf（x）dx=f（c）（β-α） . The conclusion is given in three cases the value c. |
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| Keywords: | Continuous integral mean value heorem extreme points the most value to the point |
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