关于不定积分的定义

On the Definition of Indefinite Integral

分析指出现有教材中关于不定积分的定义不可避免地会给不定积分的性质与运算带来诸多难以说明的问题,主张对不定积分的定义进行修订,即将函数在某区间上的不定积分定义为该函数在该区间上的任意一个原函数.

This paper discusses the definition of indefinite integral in the current textbooks which inevitably makes it difficult to explain the properties and the operations of indefinite integrals. It is suggested that the definition of indefinite integral be modified as such： indefinite integral of a function on a closed interval is any antiderivative of the function on the closed interval.