不定积分中有理函数的分解

Decomposition of Rational Function in Indefinite Integral

有理函数的积分是不定积分中的一种重要类型,对这类积分常用的方法是先把有理函数分解为部分分式,然后利用待定系数法和赋值法求解,有理函数积分的重点和难点就是对有理函数进行有效的分解。通过实例介绍有理函数的分解技巧,从而可方便地解决这类有理函数的积分问题。

Rational function integral is an important type of indefinite integral and its usual method to this integral is to divide the rational function into part fractions, and it can be solved through the methods of undetermined coeffcients and assignment value. The important and difficult point is the efficient decomposition of rational function. Through exemplar introduction to the decomposition skills of rational function, the question of rational function can be conveniently answered.