对一类不定积分定义域的讨论

The discussion on a sort of indefinite field of definitions

指出求函数的不定积分或原函数时 ,要注意定义范围。并给出一个重要命题 ,即 :若 f(x)在 [a,b]上连续 ,且 F(x)是 f(x)在 (a,b)上的一个原函数 ,则 F(x)在 [a,b]上的连续延拓是 f (x)在 [a。

In this paper,the author thinks that it is important to pay attention to the field of a function f(x) when we request indefinite or primitive function of f(x) .A major proposition will be given:if f(x) is a continuous function in and F(x) is a primitive one of f(x) in (a,b) ,then the continuation of F(x) in is