小议变上限的定积分

Brief Discussion of Variable Upper Limit Definite Integral

设函数ｆ（ｘ）在［ａ，ｂ］上可积，则对任何ｘ∈［ａ，ｂ］，定积分∫ｘａｆ（ｔ）ｄｔ定义了区间［ａ，ｂ］上的一个关于ｘ的函数Ｆ（ｘ），称为“变上限的定积分”，即Ｆ（ｘ）＝∫ｘａｆ（ｔ）ｄｔ，且若函数ｆ（ｘ）在［ａ，ｂ］上连续，则ｄｄｘ∫ｘａｆ（ｔ）ｄｔ...

In this paper, we give a brief discussion of variable upper limit definite integral, mainly about both the research of its functional characters and the use in the proof of some integral equality and inequality.