本文给出求不定积分的一种新方法。
A new method is given which can solve the indefinite integral.
现在我们来看另一种方法，即求不定积分。
Now we have another method to look at which is using anti-derivatives.
用常规方法求解不定积分问题是相当困难的。
It is very difficult to solve the indefinite integral with general method.
另外你可能会说，我已经知道怎么求不定积分了。
The other thing you could try to say is, wait, I already know how to take anti-derivatives.
不定积分是反导数。
探讨了不定积分教学中一些方法，以及如何体现数学美。
In this paper, some methods of how to teach indefinite integral and how to embody mathematical beauty are approached.
在大一的数学教学中，不定积分既是一个重点也是一个难点。
The indefinite integral calculation is one important sector in calculus.
应注意的是，任何常数的值可以加入不定积分，而不改变它的导数。
Note that any constant value may be added onto an indefinite integral without changing its derivative.
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.
好吧，现在我们已经得到大部分的基本积分的方式进行，让我们做一些不定积分。
Okay, now that we've got most of the basic integrals out of the way let's do some indefinite integrals.
灵活应用“凑微分”与“分部积分”法解被积函数为三个因子连乘形式的不定积分。
Flexible apply "gather together differential" and "divide part integral" method to solve the indefinite integral whose integrable function is the three factor multiple formative.
指出了一些教科书在不定积分的计算上存在的一个问题，并给出了解决这一问题的方法。
A computational problem about indefinite integral in some textbooks pointed out and gave a method to solve it.
首先证明二元插值函数的不定积分也是由迭代函数系迭代生成的，并得到了其迭代函数系。
At first, the indefinite integral of binary fractal interpolating function generated by IFS is proved, and its IFS is given.
分析了不定积分的四种基本求解方法：直接积分、第一换元法、第二换元法、分部积分法。
There are four solutions of indefinite integration in paper: direct integration, the first exchangeable integration, the second exchange - able integration, parcel integration.
所以这道题真正问的并不是“此函数是否有不定积分”，而是“你是否知道此函数的名称”。
You're not really asking whether it has an antiderivative, but whether you know the name of that function.
同时还指出了几本高等数学参考书中关于不定积分、二重积分、曲线积分计算中出现的错误。
And it also points out the mistakes in some Higher Mathematics Reference Books concerning indefinite integral, double integral and curve integral calculations.
本文指出了高等数学教科书中，不定积分的一个线性性质的条件及其证明的错误，并给出正确的证明。
This paper discusses the property of the indefinite integral, indicating an error in the proof of the textbook and giving a correction.
由原函数与反函数的关系、分部积分公式以及变量代换得出利用反函数法求不定积分的一系列积分公式。
This paper give a series Integration formula of indefinite integral by inverse function method, which use the relationship of a function and its inverse function and the Integration by parts.
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.
从不定积分的线性运算性质出发，给出了计算不定积分的被积函数线性组合化、降幂的积分原则，并结合实例分析了这一原则在不定积分计算中的指导作用。
Based on the quality of linear operation about indefinite integral, the article puts forward an indefinite integral principle of making linear combination and reducing power of integrand.
从不定积分的线性运算性质出发，给出了计算不定积分的被积函数线性组合化、降幂的积分原则，并结合实例分析了这一原则在不定积分计算中的指导作用。
Based on the quality of linear operation about indefinite integral, the article puts forward an indefinite integral principle of making linear combination and reducing power of integrand.
应用推荐