积分的简单应用中文摘要 定积分概念是我国现代微积分学中的十几个基本概念之一,学习时我们应进一步了解定积分的基本实际应用背景和基本思想，以帮助于同学们进一步提升自己分析解决定积分实际问题的综合能力，培养他们的数学逻辑思维。本文主要通过利用积分理论做广泛应用，研究内容的基本思想可以帮助我们在多个知识领域以及人们在生产实践的活动中产生重要的意义。文章主要是介绍了定积分的定义、定理的性质及公式在极限计算与积分中值证明等方面的简单应用,先是回顾了一些定积分的基本几何意义、性质、定理,然后详细列举出定积分在极限中的计算、定理公式证明过程中的简单实际应用的一些具体事例,最后归纳进行整理,从三个大方面对它进行了研究。【关键词】定积分，几何意义，极限，积分中值定理 Simple application of integralsEnglish abstractThe concept of definite integral is one of a dozen basic concepts in modern calculus in our country. When learning it, we should further understand the basic practical application background and basic ideas of definite integral, so as to help students further improve their comprehensive ability to analyze and solve practical problems of definite integral and cultivate their mathematical logical thinking. This paper mainly USES the concept of definite integral in integral theory to make extensive application to it. The basic idea of definite integral can help us produce important significance in multiple knowledge fields and people's activities in production practice. The article mainly introduces the definition and theory of the nature of the definite integral and formula in such aspects as limit calculation and integral mean value proves the simple application of first reviews some basic geometric meaning, property, theorem of the definite integral, and then a detailed list of definite integral in the process of calculation formula, theorem of the limit as proof of the simple application of some speci...
