| 积分第一中值定理的证明与推广 |
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| 引用本文： | 宫小芳. 积分第一中值定理的证明与推广[J]. 内蒙古财经学院学报(综合版), 2011, 9(3): 146-148 |
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| 作者姓名： | 宫小芳 |
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| 作者单位： | 内蒙古体育职业学院,内蒙古呼和浩特,010050 |
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| 摘 要： | 本文根据积分上限函数的性质利用微分中值定理证明了积分第一中值定理,用改进的介值定理证明了ξ∈(a,b),并推广了积分第一中值定理。
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| 关 键 词： | 积分上限函数 微分中值定理 介值定理 |
On the Proof of the First Mean Value Theorem for Integrals and Its Spreading |
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| Gong Xiaofang. On the Proof of the First Mean Value Theorem for Integrals and Its Spreading[J]. Journal of Inner Mongolia Finance and Economics College, 2011, 9(3): 146-148 |
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| Authors: | Gong Xiaofang |
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| Affiliation: | Gong Xiaofang(Inner Mongolia Vocational College of Physical Education,Huhhot,Inner Mongolia,010050) |
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| Abstract: | This paper proves the first mean value theorem for integrals according to the nature of the integral upper limit function and by using differential mean value theorem.It also uses the improved intermediate value theorem to proveξ∈(a,b) and spread the first mean value theorem. |
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| Keywords: | the integral upper limit function differential mean value theorem intermediate value theorem |
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