关于定积分不等式的证法探悉

About the Proof Method of Definite Integral Inequality

本文讨论、研究了利用定积分定义,性质,定积分计算,初等不等式,泰勒公式,构造变限积分函数,中值定理,被积函数相关性态,二重积分和柯西—施瓦茨不等式等方法来证明积分不定式;并加以例题分析,阐述运用这些方法时的基本思路和解题技巧。

This article discusses the use of the definite integral definition, nature, definite integral calculation, elementary inequality, Taylor formula, structural change limit integral function, the mean value theorem, the plot function-related behavior, double integrals and Cauchy-Schwarz inequality integration and other methods to prove the infinitive; analyze and make examples to explain the basic ideas and problem-solving skills when using these methods.