简单三角函数的积分是什么意思呢？
表列函数的积分可用列出和的系列求出。
The integral of the tabulated function can be found by forming a summation series.
本文主要讨论一种特殊的复变函数的积分——周线积分。
This paper mainly discusses a special kind of complex function — contour integral.
本文在考虑了大气影响的条件下、导出了可见度函数的积分表达式，（6）。
The integral expression, (6), of the visibility function, on which the effect of the atmosphere is considered, is derived in this paper.
本文建立了两类可积函数的积分第一中值定理的推广形式，推广了已有结论。
Two kinds of generalizations of the first mean value theorem of integral for integrable functions with different properties are established in the paper, the results extend the previous conclusions.
一种方案采用以极化电流为未知函数的积分方程，另一种方案采用以总电场为未知函数的积分方程。
One of the schemes adopts the integral equation with equivalent current as an unknown function, whereas the other USES the integral equation with total electric field as an unknown function.
本文对电磁场问题的理论计算中常遇到的含有指数函数和指数积分函数的积分，得出了解析表达式。
The analytical expressions are derived for the integrals containing exponential and exponential integral which appear frequently in electromagnetic field problems.
数值计算结果证明，该算法可以快速计算通常意义下任意函数的定积分，并能计算振荡函数的积分。
Numerical experimental results prove that the algorithm can compute integral for any functions in the usual sense, and compute oscillation function integral.
多变量函数的积分问题在各种应用领域，包括物理、化学、金融、经济和计算科学中有着广泛的应用。
The problem of multivariate numerical integration has its applications in many fields, including physics, chemistry, finance, economy, and computational science.
利用部分分式求有理函数的积分时，确定部分分式的系数的计算量很大，举例介绍如何确定部分分式的待定系数。
Abstract:The solutions to determine the undetermined coefficients of partial fraction in the rational function integral is introduced.
第二换元积分法是求函数不定积分的一种重要方法，具有一定的适用范围，对某些无理函数的积分的求解通常使用该方法。
The integration by second substitution is an important method of calculating indefinite integral, it has a certain application, it usually applies to calculate some integrals of irrational function.
本文采用非标准分析方法，首先对广义函数的赋值问题进行了完善；接着界定了广义函数的积分；最后讨论了广义函数的广义连续性．。
We discuss the problem of valuation assignment and integration of generalized functions by nonstandard analysis method. The generalized continuity of generalized functions is also discussed.
要懂得如何计算一个函数的二重积分。
一般cp和，都是温度的函数，因此实际上，我们可以将这个积分计算出来。
Cv So, for Cp and Cv, these are often quantities that are measured as a function of temperature, and one could, in fact, calculate this integral.
题目给出了积分的条件，就必须要弄清楚，什么是积分的函数，什么是积分区域。
When you are given a piece of data in the statement of a problem, you have to figure out whether that is part of a function to be integrated or whether that is part of the region of integration.
区域R的面积是函数1在R上的二重积分。
我们要做的就是关于x积分，然后得到势函数和一个积分常数。
What we do is integrate with respect to x, and we will get our potential function up to an integration constant.
但是微积分，主要是学习函数的。
那么我就能名正言顺地,用R上的某个函数的二重积分来替代通量的线积分。
Then I can actually -- --replace the line integral for flux by a double integral over R of some function.
二重积分可以用来得到关于这个区域的某些信息，或者这个区域上的一个函数的平均值，等等。
We can use that to get information about maybe the region or about the average value of a function in that region and so on.
你们都知道，要求这个面积是非常简单的，如果你们想的话，可以积分除了椭圆函数以外的任何函数。
So, you know, if you find that the area is too easy, you can integrate any function other than ellipse, if you prefer.
微积分基本定理，不是曲线积分的，告诉我们，如果对函数的导数积分，就会得回原函数。
So, the fundamental theorem of calculus, not for line integrals, tells you if you integrate a derivative, then you get back the function.
通常，你只会在这两种情况下用替代法，或者这可以极大地简化被积函数，或者就是这可以简化，积分的上下限。
I mean, normally, you would only do this kind of substitution if either it simplifies a lot the function you are integrating, or it simplifies a lot the region on which you are integrating.
一旦需要计算这个积分，只需要计算这个函数的三重积分。
Once you have computed what this guy is, it's really just a triple integral of the function.
它说，如果你对一个函数的梯度做线积分，就能得到原函数。
It tells you, if you take the line integral of the gradient of a function, what you get back is the function.
如果有一个梯度场，然后想计算线积分，我知道积分值是,起点的函数值减去终点的函数值。
Well, if I have a gradient field, then if I try to compute this line integral, I know it will be the value of the function at the end point minus the value at the starting point.
那么我们只需要知道，线积分正是势函数值的变化。
Then, we just have to, well, the line integral is just the change in value of a potential.
我要说的是取其一，积分得到包括另一变量的函数的结果，然后对结果求导，进行比较看得到什么。
But what I am saying is just take one of them, integrate, get an answer that involves function of the other variable, then differentiate that answer and compare and see what you get.
相当于在一元微积分中，取一个函数的不定积分，仅仅需要在结果后加一个常数。
It is the same thing as, in one variable calculus, when you take the anti-derivative of a function it is only defined up to adding the constant.
相当于在一元微积分中，取一个函数的不定积分，仅仅需要在结果后加一个常数。
It is the same thing as, in one variable calculus, when you take the anti-derivative of a function it is only defined up to adding the constant.
应用推荐