定积分的换元公式  

Substitution formula for definite integrals

作　　者：陶志雄[1] 

机构地区：[1]浙江科技学院理学院,杭州310023

出　　处：《浙江科技学院学报》2015年第3期165-167,共3页Journal of Zhejiang University of Science and Technology

基　　金：浙江省自然科学基金项目(LY12A01025)

摘　　要：通过延拓变换函数的定义域,并使其保持连续的导函数性质,而其值域不变,证明了高等数学中定积分的一般换元公式,从而弥补了找不到其证明的缺憾。By extending the domain of the transformation function such that it has still the same range as the original function, and continuous property of derivative function like the original function, this paper gives a proof of the general substitution rule for definite integrals. It makes up for the deficiency which its proof can not be found.

关 键 词：高等数学 定积分 换元法 

分 类 号：O172.2[理学—数学]