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。
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.
出处
《潍坊学院学报》
2007年第2期114-119,共6页
Journal of Weifang University
关键词
有理分式
待定系数法
求导法
rational fraction
undetermined coefficient method
derivation
