定积分

"According to the fundamental theorem of calculus, a definite integral can be calculated by using its antiderivative (a function whose rate of change, or derivative, equals the function being integrated)."

根据微积分基本原理，利用函数的反导数可以算出定积分。

Through the comparison and analysis of four examples,this paper draws the common methods,procedures and thinking paths of using the definite integral in the calculation of the area of some planar graph s and the static pressure of the liquid.

通过4个例题的对比分析，得出定积分在计算一些平面图形面积和液体静压力的一般方法、步骤以及思考路径。

Algorithms of the generalized spherical harmonics and their fixed integral are researched. A lot of computing methods of the fully normalized associated Legendre function are detailedly discussed.

作者的主要工作和创新点有以下几个方面： 1、研究了广义球谐函数及其相关定积分的数值计算方法。

In Chapter 2, by means of the integral theory, a number of reciprocal series involving binomial coefficients have been established and some results related to binomial coefficients have been extended.

本章利用定积分的方法和常见的发生函数，结合一些运算技巧，建立了一些与二项式系数的倒数有关的恒等式。

Semi-classical Approximation; PVTN Properties via Configuration Integral from Intermolecular Effects; Grand Canonical Ensemble II - Examples

半经典近似；对分子间作用，作定积分而得的PVTN性质；巨正则效果II

Classical Statistical Mechanics; Hamiltonian and Ideal Gases; Factoring the Partition Function with the Semi-classical Approximation; PVTN Properties via Configuration Integral from Intermolecular Effects; Grand Canonical Ensemble I

经典统计力学；Hamilton函数与理想气体；半经典近似微分函数因数；对分子间作用，作定积分而得的PVTN性质；巨正则效果I。

The definite integral of f from a to b.

f从a到b的定积分。

Based on the integral inequality and other quality proved,the paper discusses the conclusion of the mid-value in theorem of integration mean which is got in open interval.

在证明了定积分不等式等性质的基础上，给出并证明了积分中值定理的中值在开区间内取得的结论。

Impsons Integration: In numerical analysis, Simpson s rule is a method for numerical integration, the numerical approximation of definite integrals.

pecifically：：辛普森整合：数值分析中，辛普森法则是一种方法，数值积分，数值逼近定积分。具体来说

It will also be capable of evaluating definite integrals and Riemann sums.

同时，它还可处理定积分和黎曼积分。

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。