定积分

导出比Simpson公式精度更高的三次、四次曲线近似的高次曲线拟合定积分公式，并给出实现该算法的C语言源程序。

The precision of derived definite integral formula by high-order curve fitting like thrice and quartic proximate curve is higher than Simpson formula and the C language original program to realize the above algorithm is presented .

文章通过举例分析这几种特殊类型的定积分的计算方法与技巧，开拓解题思路，提高学生定积分的计算能力。

This paper offers some methods and techniques of calculation to deal with some of these special types definite integral to exploit new tracks to solve problems and improve students ' computational ability of definite integral .

不定积分的Fuzzy扩张运算模糊集乘积的扩张运算

Fuzzy Extend Operation for Indefinite Integral The Extension Operations of the Fuzzy Sets Product

这是一个在C环境下实现的关于定积分求解的程序！

This is an environment in C under the integral solution of the procedure !

不定积分的Fuzzy扩张运算

Fuzzy Extend Operation for Indefinite Integral

微机REDUCE上椭圆域多项式二重定积分的算法

An Analytical algorithm of polynomial Integration in an Elliptical Area Based on REDUCE System of IBM-PC computer

单链SU（3）群积分的定积分表示

Definite Integral Expression of the SU ( 3 ) One-link Integral

定积分是区间上的不定积分值。结果不受C值选择的影响。

A definite integral is an indefinite integral evaluated over an interval . The result is not affected by the choice for the value of C.

该定积分可用MATLAB提供的积分函数计算，或者利用蒙特卡罗方法通过编程求解。

The definite integral can be calculated with the integration function in MATLAB or can be solved by using the Monte Carlo programming method .

拉格朗日插值多项式求定积分的三角Hermite插值小波方法

The Trigonometric Hermite-tpye Interpolation Wavelet Method for the Calculation of Definite Integrals

第五章，论述基于课堂教学的CAI课件开发应注意的几个问题及定积分CAI课件的制作。

In chapter five , some notes in making classroom teaching-based CAI and the fabricate of definite intergral software have been discussed .

文章利用Monte－Carlo方法来计算一种特殊的概率，这种概率不能或极难用定积分的方法计算得到.但与一般的Monte－Carlo方法不同的是由于问题的特殊性；

This paper attempts to solve a special probability which is impossible or difficult to get by integal , with the Monte-Carlo method .

以经典函数的导数、不定积分概念为基础，给出了经典函数的Fuzy导数及Fuzzy不定积分的概念，讨论了Fuzzy导数及Fuzzy不定积分的基本性质。

On the basis of the concepts of derivative and indefinite integral of classical function , the concepts of Fuzzy derivative and Fuzzy indefinite integral of classical function are put forword , and the fundamental properties of them are discussed .

关于多元分次插值适定性问题的研究求定积分的三角Hermite插值小波方法

On Properly Posed Sets of Nodes for Multivariate Graded Interpolation The Trigonometric Hermite-tpye Interpolation Wavelet Method for the Calculation of Definite Integrals

不定积分中的分部积分法是教学中的重点和难点，其中u（x）、v′（x）正确选择是关键。

Partial integral calculus is the focal and difficult point in the teaching of indefinite integral , during which the option of u ( x ) or v ′( x ) is the key procedure .

用构造体积、应用二项式定理、利用定积分的三种方法，导出正整数前n项k方和公式，并对此进行推算。

Three methods-structural volume , binomial formula and definite integral-can be employed to derive the formula for the snm of the K power of positive N term integer . The calculation can be made on the basis of them .

在重心法解模糊化的过程中，通常需要使用Riemann和或者数值积分来近似计算定积分的值。

In the process of gravity method defuzzification , Riemann sum or numerical integration formulas are often used to approximate the value of the definite integral .

求定积分或不定积分的过程称为积分法用调和微分求积法数值求解Burgers方程

The process of solving either a definite or an indefinite integral is called integration . Numerical solutions of Burgers ' equation by harmonic differential quadrature method

讨论了扩散微分方程在几种条件下的积分解，采用辛普生法计算误差函数erf（z）的定积分值，就2个不同浓度无限源的扩散状况，进行了数值计算。

A series of integration solutions for differential diffusion equations in several conditions were discussed . The value of error function erf ( z ) was calculated by the SIMPSON method .

对于定积分近似计算中常使用的经典SIMPSON求积公式介绍一种新的简洁的证明方法并给出误差的最佳估计。

We introduced a new and simple proof of the classical SIMPSON quadrature formula which is frequently applied in calculating definite integrals and best estimation of error is obtained .

该文就RMI在平面解析几何、解无理方程和不定积分、求积分上限函数与和函数中的意义和作用作一简单的分析。

This paper is a brief analysis of RMl 's significance and role in plane analytic geometry , irrational equation , indefinite integrals and definite integrals , and function .

对相应的无穷上限广义Sommerfeld积分的计算，提出了自适应截断技术，将无穷上限积分转化为普通定积分，同时，积分上限可根据规定的误差限自动选取。

A self adaptive truncation technology is presented to transform the generalized Sommerfeld integral which has an infinite upper limit into a definite integral .

其次，证明了二元插值函数的不定积分的2阶混合偏导数等于其二元插值函数本身的充要条件，并推广到2N阶的情形。

Second , the sufficient and necessary condition for second-order partial derivative of binary fractal interpolating function equaling itself is obtained . The sufficient and necessary condition is extended to 2N-th order partial derivative .

应用复变函数积分的最陡下降法，在弱耦合区将单链配分函数SU（3）群积分表示成一元实变函数的定积分，可以用数值计算方法很方便地求值。

A definite integral expression of the SU ( 3 ) One-link partition function invariant group integral in the weak coupling regions of lattice gauge theories is obtained by the steepest descent method . The integral can be numerically eval - uated easily .

分析法的推导过程容易，但是外推结果中高斯误差补函数的2n重不定积分计算困难，系数bn不容易得到，并且外推结果存在拟合误差。

The derivation process of Analysis is easy , but n re indefinite integral in the extrapolation results is difficult to calculate , coefficient bn is not readily got , and there is the fitting error in extrapolation result .

讨论式教学模式讲授定积分的应用略论讲授法教学

The Application of Teaching Definite Integral in the Way of Discussion

利用反函数法求不定积分

The formula of working out indefinite integral by inverse function method

关于用定积分求解实际问题的方法讨论

Discussion on the method of solving practical problems with definite integral

利用定积分换元公式，可推导出一些非常实用的积分公式。

Several applied integral formula can be deducted from the method .

用动画、图形建构定积分概念的探索

Exploration in Describing Concepts of Definite Integral by Animations and Pictures