关于定积分不等式的证法探悉

摘要

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 behav-ior, 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.%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。