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不定积分是反导数。The indefinite integral is an antiderivative.

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.

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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.

没有多大变化，来看看用不定积分的方法怎么做。Not much changes. Let's look at the other method using anti-derivatives.

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.

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.

只有连续函数在闭区间上的黎曼和牛顿不定积分与定积分都存在时方可积分。Riemann integral can not be used in every limited function to get its definite integral.

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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.

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.

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.

也记号法因为明确的整体为一个不定积分对记号法是非常相似的。Also note that the notation for the definite integral is very similar to the notation for an indefinite integral.

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.

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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.

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.

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.

本文利用求导与不定积分的关系，得出了有理真分式函数不定积分公式，并利用导数计算其不定积分。A integral method of rational functions is proposed to seek explicit exact solutions of evolution equations with polynomial nonlinear terms of any powers.

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.

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根据无限延深直立厚板和有限延深直立厚板的磁异常公式，求出磁异常的不定积分变换结果，并根据变换结果绘制磁异常变换参量图。From the two kinds of magnetism abnormality formulae, we deduce respective results of indefinite integral transformation, and plot a series of parameter figures for them.

采用不定积分的方法建立了电机动态过程产生的不平衡磁通的数学模型。Using the indefinite integral method, the mathematical model of the unbalancing flux is established which is produced during the process of the electrical machinery dynamic.

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.