分解与积分有理函数的直接方法

通过多项式分析,构造出用于确定有理函数分解式系数的两种直接公式.为了提高公式的使用效率,引入先期分解的概念,给出了公式的连环应用方法.同时,将公式的使用范围扩展到复数域,建立起适用于共轭复根的积分公式,避免了有理函数积分的递推过程.

The Direct Method for Decomposing and Integrating the Rational Function

By analyzing the polynomial,we have constructed two direct formulas which used for determining the coefficient of the rational function decomposition expression.For arising the use efficiency of the formulas,we have given the concept of pre-decomposition and given a ring-style application method of the formulas.Meanwhile,we expanding the use range of the formulas to the complex number field,and established a integration formula which suitable for the conjugate complex roots,so that avoiding the recurrence process of the rational function integration.