定积分

This artical has studied the application of definit integral in physics from aspects of work, force,moment of inertia, shape center of ichnography, and the calculate of the inertia moment; mainly used the research method of from spcial to normal.

本文从功、力、转动惯量、平面图形的形心和惯性矩的计算这几个方面研究了定积分在物理学中的应用，主要运用了从特殊推广到一般的研究方法。

The demands at every given time is calculated by indefinite integral, and the progressive p-median method is adopted to set up the dynamic location model.

通过计算定积分得出各时段客户的需求量，并在此基础上使用改进的伊中值方法建立动态选址模型，进行实验、计算与分析。

To perfect it,this paper,by using the basic knowledge in definite integral Newton—'Leibniz formula,offers an applied method of definite integral,partial quantity function infinitesimal calculus method,which is both theoretically reliable and easily applied.

一般教材都使用"微元法"给出被积函数，这一方法在理论上并非严格，为弥补该方法在理论上的不足之处，将定积分的应用方法总结为"部分量函数微积分法"。

The general formula to calculate the rotating surface area which is shaped by rotating the curve c in xoy plane around the L-axis by using curve integral.

依据所证得的通用计算公式推证得到，在某些特定情形下利用定积分计算旋转曲面面积的具有针对性的公式。

VB some arithmetic algorithm, the solutions to differential equations, and some integral function mapping tests, for beginners.

VB实现的一些数学运算算法，有解微分方程，定积分和一些函数绘图的测试，适合初学者。

In specific applications expression : in compressed natural language describes various examples of the basic algorithm, using MATLAB as a programming language, a series of the combined limit, the bonus points will be combined, one graphics area and the length of the horizontal curve equations, and curve tangent process, the rotary body size and shape combined several process issues.

在具体应用中的体现：以简练的自然语言描述了各实例的基本算法，运用MATLAB作为编程语言，实现了数列极限的求解、定积分的求解、平面图形面积及平面曲线长度的求解、求曲线切线的过程、旋转体体积的求解及其形成过程等几个问题。

The first is refered to the vibration model with retardation for the market equilibrium price, where the knowledge of the second order linear ordinary differential equation is used.

第一个是研究市场调节下平衡价格的阻尼振荡模型，使用了二阶线性常系数微分方程的课程知识；第二个是在引进社会福利因素时商品的最优定价模型，使用了定积分和微分法的课程知识。

The first is refered to the vibration model with retardation for the market equilibrium price, where the knowledge of the second order linear ordinary differential equation is used. The second is refered to the optimal pricing model of the price under the frame of the social welfare, where the concept of the definite integral is exploited.

第一个是研究市场调节下平衡价格的阻尼振荡模型，使用了二阶线性常系数微分方程的课程知识；第二个是在引进社会福利因素时商品的最优定价模型，使用了定积分和微分法的课程知识。

However,To prove Inequality with elementary method,we often create complex computational process. The second ,we will take full advantage of the knowledge of calculus Inquiry Testimony of inequality,and concluded the higher mathematics to prove Inequality several main method and its application conditions.Constructors in the context of the use of the monotone function,Calculus value theorem,function and the most extreme value,integral, it can be a very effective solution to the inequality problem proof. At last,we summed up several convenient and simple way to prove Inequality.It will be play a great role in our problem Solving.

但是用初等方法证明往往会造成复杂的运算过程，本文接着充分利用微积分的知识探究不等式的证明方法，并指出微分学和积分学在不等式的证明的具体应用，那就是在构造函数的背景下运用函数的单调性、微积分中值定理、函数的极值和最值、定积分，那么就可以十分有效地解决不等式中的证明问题，从而归纳出几种方便而又简捷的方法，这样对我们解题将会起到很大的作用。

And some results about continuation for solution of initial-value problem of ordinary differential equation are also presented.

对定积分中值定理作出推广并应用于方程初值问题解的延拓，得出了关于解向右延拓的两个结果。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。