隐藏着可以凑微分的不定积分计算问题  

The Problem of Indefinite Integral Computation of Hideaway Collecting the Differential

作　　者：孙长军[1] 

机构地区：[1]连云港职业技术学院数学教研室,江苏连云港222000

出　　处：《伊犁师范学院学报（自然科学版）》2012年第3期34-38,共5页Journal of Yili Normal University：Natural Science Edition

基　　金：江苏省教育科学"十二五"规划重点课题<江苏沿海地区高等职业教育发展战略研究>(B-b/2011/03/044)阶段性成果;2011年连云港职业技术学院院级科研基金项目<高职院校数学课程教学改革与创新人才培养的研究与实践>成果

摘　　要：凑微分在不定积分计算中占有很重要的地位,第一换元法和分部积分法都需要先凑微分,但有的被积函数是否可以凑微分不是很明显.就一些常见隐藏在被积函数中能凑微分或是通过适当变换能凑成微分的积分进行了总结,旨在使读者能产生一些启示或积累一点经验.Collecting the differential has occupied the very important status in the indefinite integral computation, the first substitution of variables and the integration by parts needs to collect the differential first, but whether some integrands can collect the differential is not very obvious, this article hidden common on some in the integrand can collect the differential and perhaps add up to the differential through the suitable transformation the integral to carry on the summary, the purposes to reader have some enlightenment or perhaps some experiences.

关 键 词：隐藏 凑微分 不定积分 计算 

分 类 号：O172.2[理学—数学]