留数定理在有理分式型不定积分中的应用

Application of Residue Theorem in Rational Fractional Indefinite Integrals

本文结合实例讨论了留数应用于有理分式型不定积分的计算方法,利用此方法证明了一个已知的结论,即任何有理分式型不定积分都具有初等原函数。This article discusses the method of residues applied to the computation of rational fractional indefinite integrals, using this method to prove a known result that any rational fractional indefinite integral has an original function.