| 有理分式的不定积分的改进 |
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| 引用本文： | 黄廷章,国孝芳. 有理分式的不定积分的改进[J]. 潍坊学院学报, 2007, 7(2): 114-119 |
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| 作者姓名： | 黄廷章 国孝芳 |
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| 作者单位： | 1. 潍坊学院,山东,潍坊,261061
2. 寿光市杨庄中学,山东,寿光,262700 |
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| 摘 要： | 在有理分式的不定积分计算中,教科书上介绍的方法是:待定系数法和赋值法,其中最常用的是待定系数法,而诸待定系数多借助于解线性方程组来确定.事实证明,这种计算往往是十分繁琐的。本文将指出,辅以求导法可避免线性方程组的应用,从而将计算过程简化。此外,本文,还指出了用另外几种方法来计算有理分式的不定积分。
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| 关 键 词： | 有理分式 待定系数法 求导法 |
| 文章编号： | 1671-4288（2007）02-0114-06 |
| 修稿时间： | 2006-11-25 |
The improvement of rational fraction indefinite integral |
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| HUANG Ting-zhang,GUO Xiao-fang. The improvement of rational fraction indefinite integral[J]. Journal of Weifang University, 2007, 7(2): 114-119 |
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| Authors: | HUANG Ting-zhang GUO Xiao-fang |
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| Affiliation: | 1.Weifang University, Weifang 261061, China; 2.Shouguang Yangzhuang Meddle school, shouguang 262700, China |
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| Abstract: | In the rational fraction indefinite integral,the undetermined coefficient method and the valuation method are introduced in the textbook.The most commonly used is the undetermined coefficient method.But the various undetermined coefficient methods often depend on solving the system of linear equations.The fact proved this kind of computation is extremely tedious.This paper pointed out that,auxiliary derivation can avoid the application of the system of linear equations,thus simplify the calculation process.In addition,this paper had introduced other calculation methods of the rational fraction indefinite integral. |
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| Keywords: | rational fraction undetermined coefficient method derivation |
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