| 积分中值定理的推广及应用 |
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| 引用本文： | 谢焕田. 积分中值定理的推广及应用[J]. 高师理科学刊, 2009, 29(5): 8-9 |
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| 作者姓名： | 谢焕田 |
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| 作者单位： | 临沂师范学院数学系,山东,临沂,276005 |
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| 基金项目： | 国家自然科学基金项目 |
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| 摘 要： | 将积分中值定理条件中的连续函数推广到导函数,并利用Darboux定理作了详尽的证明,典型例题说明推广后的定理在处理证明及积分求极限问题时非常简捷直观.
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| 关 键 词： | 积分中值定理 导函数 Darboux定理 |
The extension and application of intermediate value theorem of integral |
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| XIE Huan-tian. The extension and application of intermediate value theorem of integral[J]. Journal of Science of Teachers＇College and University, 2009, 29(5): 8-9 |
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| Authors: | XIE Huan-tian |
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| Affiliation: | XIE Huan-tian(Department of Mathematics,Linyi Normal University,Linyi 276005,China) |
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| Abstract: | Extended continuous function into derived function in intermediate value theorem for integral,and the results was proved in detail using Darboux′s theorem.Typical examples shown the results are simple and intuitive for handing and proving integral limit problems. |
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| Keywords: | intermediate value theorem of integral derived function Darboux′s theorem |
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