本文建立了两类可积函数的积分第一中值定理的推广形式，推广了已有结论。
Two kinds of generalizations of the first mean value theorem of integral for integrable functions with different properties are established in the paper, the results extend the previous conclusions.
但是，本文指出并论证了下述结论：黎曼可积函数的连续函数必定黎曼可积。
This paper has drawn and proved the conclusion that continuous function of Riemann integrable function is certainly Riemann integrable.
在构造了完备化空间之后，证明了该空间就是勒贝格可积函数空间，从而说明了黎曼积分的完备化形式是勒贝格积分。
After constrcting the perfective space prove that this space is just the space of lebes gue integratiable function thus explain that lebes gue integral is the form of the perfective riemann integral.
采用将圆电流磁矢势表达式中一部分展成级数，使被积函数变成可积分的函数。
A part of results on magnetic vector potential of circular loop are expanded, so the integral function is transformed to integrable series.
这些结果能被用来研究共轭调和函数的可积性并且估计它们的积分。
These results can be used to study the integrability of conjugate harmonic functions and estimate the integrals for them.
文章针对被积函数是连续函数、可导函数的定积分不等式提出了几种有效的证明方法。
This article analyses how to prove the stable integral inequality effectively while knowing the function is continuous and derivative.
文章针对被积函数是连续函数、可导函数的定积分不等式提出了几种有效的证明方法。
This article was to offer the method about the complex function's differentiable and holomorphic.
文章针对被积函数是连续函数、可导函数的定积分不等式提出了几种有效的证明方法。
This article was to offer the method about the complex function's differentiable and holomorphic.
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