定积分

Optimal calculation of definite integral can be obtained by combination of the odevity of function and the symmetry of integral domain.

定积分的计算是高等数学的重要内容之一，但在积分计算时可以结合积分区域的对称性和被积函数的奇偶性来简化计算。

In this paper, reciprocation, frequently used in indefinite integral calculation, was applied in definite and broad integral calculation.

将不定积分计算中经常使用的例代换，应用于计算多余定积分与广义积分，在某些情况下，使计算大为简化。

To simplify the convenient method of the translation of double intergral and based the translation of definite integral and relevant knowledge of double integral , a simple and convenient method is introduced.

为简化二重积分换元公式的推导，利用定积分的换元法及二重积分的有关知识，提出了一种简便的推导方法

This paper gives a method to solve double integration by integral subsection integration.

本文给出了用定积分的分部积分法求解二重积分的一种方法。

To simplify the detrusion of the double integral exchange formula,a simple method is derived after using the recevant knowledge of the methed of substitution in definite integral and double integral.

为简化二重积分换元公式的推导，利用定积分的换元法及二重积分的有关知识，提出了一种简便的推导方法。

Integral Calculus: definite and indefinite integrals; fundamental theorem of calculus; techniques of integration; Taylor's Theorem; applications in geometry, physics and engineering.

积分学：定积分与不定积分、本定理、积分的方法、勒定理、分学在几何、理和工程学上的应用。

"Economic Mathematics" on the function of the limit, derivative and differential, derivative applications, indefinite integral, integral, integral and infinite binary Series and the first order differential equations, and so forth.

经济数学》介绍了函数、极限、导数与微分、导数的应用、不定积分、定积分、二元积分和无穷级数与一阶微分方程等内容。

The course contents include: basic concept of Mathematics, functions, linear functions, limits, differentiation, applications of the derivative, antidifferentiation, indefinite integral

课程内容包括数学概念的复习，函数，斜率，极限，导函数，不定积分，定积分，对数函数与指数函数的微分与积分等单元的介绍与应用。"，"

The primary method in calculi can only solve a thimbleful type of evaluations of infinite integral.

在高等数学的学习中，求解无穷限积分的基本方法是根据广义积分的定义，先求定积分，再取极限，即+∫∞afdx=limb→+∞∫bafdx。

The research achievement are acquired as follows: 1From mathematical models for inverse scattering in two dimensional homogenous media including Dirichlet, Neumann, Robin,all kinds of probable mixed boundaries and cracks, direct and inverse scattering are discussed, and ill-posed integral equation and indicator function method are formulated for the diverse of boundary identification. It is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solving it by virtual of regularity method, meanwhile, some numerical tests are given.

本研究取得了如下研究成果： 1）在二维均匀介质逆散射各种边界识别的数学模型（包括Dirichlet，Neumann，Robin，各种可能的混合边界问题，裂纹问题）下，分别考虑了正散射问题和逆散射问题，推导了上述各种边界识别的不适定积分方程以及指示函数方法，由于积分方程的核充分表征了散射物的边界，由此说明只要利用正则化方法求解该积分方程，就可以确定散射物的边界，并给出了一些数值实验。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了