第一类换元积分法的解构和重构——兼简论一元积分学的改革  

Deconstruction and Reconstruction of the First Type of Integration By Substitution——On the Reform of Integration with One Variable

作　　者：石德刚 董春芳[1] SHI De-gang;DONG Chun-fang(Tianjin Metallurgical Vocation-Technology Institute,Tianjin 30040)

机构地区：[1]天津冶金职业技术学院,天津300400

出　　处：《天津职业院校联合学报》2018年第8期88-96,共9页Journal of Tianjin Vocational Institutes

摘　　要：对第一类换元积分法的"凑微分"思想的理论依据进进行了解构和重构,总结出"凑微分"的具体方法,使"凑微分"在一定程度上有章可循,可以缩短学生学习第一类换元积分法的适应过程,减轻学生学习第一类换元积分法的负担。The theoretical basis of the＂gather together differential＂idea of the first type of integration by substitution is deconstructed and reconstructed,and the specific method of＂gather together differential＂is summarized,so that the＂gather together differential＂has rules to follow to a certain degree.It can shorten the adaptation process of students learning the first type of integration by substitution,and reduce the burden of students learning the first type of integration by substitution.

关 键 词：不定积分形式不变性 第一类换元积分法 凑微分 

分 类 号：O172[理学—数学]