This article represents Cauchy Integral Concept and Lebesgue Integral Concept. It also compares the two concepts.

介绍了柯西积分概念及定义在区间上的实函数的勒贝格积分概念，并将两者加以比较。

Lebesgue measurable set and the complete and nowhere dense set are two kinds of important set and are the important content in the real variable function.

勒贝格可测集和疏朗完备集是两类重要集合，是实变函数中的重要内容。

In section 2, based on knowledge class open intervals are constructed, then a kind of specific Lebesgue measures, called knowledge measure, is defined and researched.

第2节，以知识分类为基础，构造开区间，定义和研究了一种具体的勒贝格测度——知识测度。