有理函数部分分式的分解定理及其应用  

Decomposition Theorem and Application of Partial Fraction of Rational Function

作　　者：刘鸿基[1] 于涛[1] 

机构地区：[1]商丘师范学院计算机科学系,河南商丘476000

出　　处：《通化师范学院学报》2009年第8期6-7,共2页Journal of Tonghua Normal University

基　　金：河南省高等教育教学改革项目(20060306102)

摘　　要：有理函数积分是一类重要而常见的积分类型,教材一般都只是提供了分解定理和一般的待定系数法,虽在理论上保证了分解的可行性,但分解方法因其计算量大而较为繁琐.文中从理论高度提出两种简便可行的分解方法.The integral of rational function is a kind important and the common integral type,all teaching materials only provided the decomposition theorem and the general method of undetermined coefficient,which in theoretically guaranteed the feasibility of decomposition,but the decomposition method was more tedious because of large amount of calculation.This article proposed two simple and feasible decomposition methods from the theoretical height.

关 键 词：有理函数 分解定理 求导代根法 去因代根法 

分 类 号：O17[理学—数学]