摘要
被积函数为有理函数的不定积分求解通常是采用待定系数法。本文提出了这类积分的非待定系数公式解法，较完美地解决了这类积分问题。在实际应用中显示了这种新型方法是简捷的和有效的。它的优点还在于不仅对一些常规方法极为困难或无法解决的问题给以简明的解，而且借助于电子计算机可解决更复杂的问题。
A usual method is the method of waiting coefficient to solve integral of a rational function. We shall propose a non-waiting coefficient formula of solution about this kind of integral in this article and perfectly solve this kind of integral problem. In practical application this new method is simple, direct and effective. Its advantage is not only to give a simple solution for several problems which are very difficult or aren’t solved by usual method, but also to solve more complex problems by computer.
出处
《应用数学和力学》
SCIE
EI
CSCD
北大核心
1994年第1期19-27,共9页
Applied Mathematics and Mechanics
关键词
有理函数
积分
多项式展开
expansion of a polynomial
rational function
integral of rational function
