重积分

At last,for the double integral which the boundary curve of its domain of integration is denoted by the panameter equation, we will supply a directed method which do not eliminate the parameter.

对积分区域的边界曲线由参数方程表示的二重积分，我们也将给出两种不经消参数而直接计算的方法。

This article is mainly discussed the relation between some important concepts and conclusions about the Limit of Sequence, the Limit, Continuity ,Differentiability, Integrability of Function, the Infinite Series , and the Limit, Continuity, Derivativeness,Differentiability of Multivariable Function ,as well as the Multiple Integral, and Integral with parameter .

本文对数列极限，一元函数的极限、连续性、可微性、可积性，无穷级数，多元函数的极限、连续性、可导性、可微性以及重积分，参变量积分中的一些重要概念和结论之间的关系进行了一些探讨，每一个问题都作了适当说明或举出反例，并对一些相关的内容进行了讨论，得到若干结果。

In this paper, find Euler's formula using double integral , power series convergence and uniform convergence in the convergence region.

本文利用二重积分公式，幂级数在收敛区间内的收敛性质、一致收敛性质及可逐项积分的性质来证明Euler公式

This article used the truncation mark law to discuss the common quadratic surface on the coordinate plane projection, based on this gave by the surface encircles three-dimensional asks the law on the coordinate plane projection one kind, this kind asked method the superiority lay in does not draw the range of integration graph also to be able to determine it on the coordinate plane projection.

本文利用截痕法讨论了常见二次曲面的在坐标面上的投影，在此基础上给出由曲面所围立体在坐标面上的投影的一种求法，这种求法的优越性在于不画出积分区域图形也能确定它在坐标面上的投影。最后以实例说明这种求投影的方法在计算三重积分中的应用。

The introduction of one way to solve the problem of definite integral by means of double integral.

介绍利用二重积分解决有关定积分问题的一种方法。

The definite integral property in symmetry interval is extended to definite integral on non-symmetry interval and multiple integral.

在定积分和重积分中对对称区间上奇偶函数的定积分性质进行了推广。

The paper introduces the method of calculating double integral with symmetry,and then puts forward a calculating method by rebuilding integrand and domain of integration reasonably.

本文还介绍了如何利用对称性来计算二重积分，并提出了通过适当改造被积函数和积分区域以利用对称性来简化计算的方法。

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。

Property 3 The double integral is additive with respect to the integration region, that is, if is divided into two regions and and the area of is 0, then

性质 3 二重积分关于积分区域具有可加性，即如果被分成两个区域和，的面积为 0，则有

Moreover,we also gave the proofs of generalization formula of integration by parts,the Green s formula of first type and the Green s formula of second type by using the divergence theorem .

首先指出数学分析中反映二重积分和第二类平面线积分联系的Green公式可以看成是散度定理的一种特殊情形，然后利用散度定理给出广义分部积分公式、第一Green公式和第二Green公式的证明

The basic concept of FOP can be summarized as to further optimize effective prescription according to the standard of curative effects and with the aid of modern science and technology and theories of traditional Chinese medicine.

其基本内涵可概括为：以确有疗效的中药复方为研究对象，以现代科学技术和传统中医药理论为技术支持，以该复方所治病证的药效响应为评价标准，以优化重组疗效更优的新复方为研究目的。

Ever since our world has been a world, native forests have been indiscriminately exploited by man.

自从我们的世界一直是世界原生森林被任意剥削人。