证明了含有积分型余项的泰勒公式，并举例说明了其在定积分中的应用。
Taylor's formula with integral remainder term is approved and applied to definite integrals through some examples.
针对在定积分应用的微元法教学过程中，就如何阐明微元法的来源、理论依据以及在实际应用中需注意的问题等进行初步的探讨。
The author makes an initial discussion on how to clarify the origin and theoretical basis of infinitesimal method during the teaching of this very method in the application of definite integral.
主要讨论了定积分与函数的两种关系在积分论证问题的应用。
This article discusses the application of relationship between definite integration and function.
应用模糊自适应对直流双闭环调速系统中的转速调节器的比例、积分参数进行整定。
By using the fuzzy self-adaptation, this paper adjusts the rate and integral parameters of the speed-adjusting system of DC double closed-loop.
数值积分算例表明，该算法得到的积分值精度高，自适应强，是一种有效的数值积分方法，在数值计算和工程实际应用中具有一定的参考和应用价值。
Simulation examples of integral show the algorithm is a validated method with high precision and powerful self-adapting. The algorithm has value in numerical calculation and engineering practice.
数值积分算例表明，该算法得到的积分值精度高，自适应强，是一种有效的数值积分方法，在数值计算和工程实际应用中具有一定的参考和应用价值。
Simulation examples of integral show the algorithm is a validated method with high precision and powerful self-adapting. The algorithm has value in numerical calculation and engineering practice.
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