| 浅谈不定积分中凑微分法和分部积分法的运用技巧 |
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| 引用本文： | 徐改丽.浅谈不定积分中凑微分法和分部积分法的运用技巧[J].科教文汇,2012(13):103-104. |
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| 作者姓名： | 徐改丽 |
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| 作者单位： | 桂林理工大学理学院,广西桂林541002 |
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| 摘 要： | 凑微分法和分部积分法是求解不定积分的两种重要方法,这两种方法都适用于形如乙∫f（x）g（x）dx的积分,都有凑微分的过程,学生容易混淆。针对这种情况,本文提出了一种简单、快速、易于学生掌握的方法——＂拆＂、＂判＂、＂选＂、＂凑＂四步法,帮助学生快速找到正确的积分方法和要凑的微分因子,从而达到快速、准确解题的目的。
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| 关 键 词： | 不定积分 凑微分 分部积分 复合函数 |
A Brief Discussion on the Application Skills of Improvising Differential Method and the Subsection Integral Method in Indefinite Integral |
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| Authors: | Xu Gaili |
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| Institution: | Xu Gaili (College of Science,Guilin University of Technology,541002,Guilin,Guangxi,China ) |
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| Abstract: | Improvising differential method and the subsection integral method are two important methods which apply to the integral formed as ∫f（fx）g（x）dx,but there exists the process of improvising differential,so students are easy to be confused.In view of this situation,this paper proposes a easy and fast four-step method,helping students to quickly find the right integral,so as to solve problems accurately. |
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| Keywords: | indefinite integral improvising integral the subsection integral composite function |
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