| 两类换元积分公式的简易证明及其应用 |
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| 引用本文： | 聂学建,范志远. 两类换元积分公式的简易证明及其应用[J]. 职大学报, 2012, 0(2): 74-76 |
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| 作者姓名： | 聂学建 范志远 |
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| 作者单位： | 湖南高速铁路职业技术学院,湖南省 衡阳市,421001 |
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| 摘 要： | 已知某函数的导数,求这个函数的过程叫不定积分。通过更换积分变量求不定积分的方法叫换元积分法。超过半数的不定积分需要依靠换元积分公式来求解,由此可见其在不定积分中的重要地位。
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| 关 键 词： | 原函数 复合函数 不定积分 直接积分 换元积分 |
Simple Proof and Application of Two types of Changing Integral Formula |
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| Nie Xuejian , Fan Zhiyuan. Simple Proof and Application of Two types of Changing Integral Formula[J]. Journal of the Staff and Worker's University, 2012, 0(2): 74-76 |
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| Authors: | Nie Xuejian Fan Zhiyuan |
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| Affiliation: | Nie Xuejian Fan Zhiyuan(Hunan High-speed Rail Vocational Technical College,Hengyang 421001) |
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| Abstract: | The process to work out a function via the known function derivative is called indefinite integrals.The method of changing the variables of integrations to work out the indefinite integrations is called changing integral variables.The results of more than half of the indefinite integrals depend on this method,which shows the important role of this method in indefinite integrations. |
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| Keywords: | the original function compound function indefinite integrations direct intergradations method of changing integral variables |
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