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。
2
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。
3
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.