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一类不定积分的分部积分法
引用本文:何素艳,曹宏举,万丽英.一类不定积分的分部积分法[J].数学学习,2013(6):27-29.
作者姓名:何素艳  曹宏举  万丽英
作者单位:大连外国语大学软件学院,辽宁大连116044
基金项目:辽宁省教育科学“十二五”规划课题(JG12DB318);大连外国语大学科研项目(2012XJYB26)
摘    要:对于被积函数形如x^m(ax+b)^n的一类不定积分,分别在m或n为正整数时,用分部积分法给出其求解思路,并举例说明.

关 键 词:被积函数  不定积分  分部积分法

Evaluating a Family of Indefinite Integrals by Using Integration by Parts
HE Suyan,CAO Hongju,WAN Liying.Evaluating a Family of Indefinite Integrals by Using Integration by Parts[J].Studies In College Mathematics,2013(6):27-29.
Authors:HE Suyan  CAO Hongju  WAN Liying
Institution:. (School of Software Studies, Dalian University of Foreign Languages, Dalian 116044, PRC)
Abstract:In this paper, the indefinite integral with integrand x^m (ax +b)^n , where m or n are positive integers, is investigated by integration by parts. An example is.given to demonstrate the efficiency of the method.
Keywords:integrand  indefinite integral  integration by parts
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