integral mean value theorem 积数指数
first integral mean value theorem 第一积分中值定理
second integral mean value theorem 积分第二中值定理
the second integral mean-value theorem 第二积分中值定理
integral l mean value theorem 积数指数
integral theorem of mean 积分中值定理
This article explores the four ways for solving integral inequality with the nature of definite integral, mean value theorem of differentials, Schwarz inequality and double integral.
本文利用定积分的性质、微分中值定理、施瓦兹不等式、二重积分等内容，研究了积分不等式的四种证法。
Based on the integral inequality and other quality proved, the paper discusses the conclusion of the mid-value in theorem of integration mean which is got in open interval.
在证明了定积分不等式等性质的基础上，给出并证明了积分中值定理的中值在开区间内取得的结论。
In this article, the author has proved the theorem of "middle point" in the second integral mean value.
给出并证明了关于积分第二中值定理“中间点”的渐近性定理。
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