indefinite integral

1. This paper studies the application of identical transformation trigonometric function in indefinite integral, and hopes that it may bring some help to students in this aspect.
   文章主要阐述了三角函数恒等变形在不定积分中的应用，有助于学生掌握求不定积分的方法。
2. In this paper, some methods of how to teach indefinite integral and how to embody mathematical beauty are approached.
   探讨了不定积分教学中一些方法，以及如何体现数学美。
3. A new view is put forward about the trigonometrical Function Rational Formula Indefinite Integral, which is, how to make the indefinite integral belong to all the continual periods.
   指出三角函数有理式不定积分中一个值得商榷的地方，对计算结果给出一种补充方法，使得不定积分为被积函数在连续的所有区间上的不定积分。
4. The process of solving either a definite or an indefinite integral is called integration. Numerical solutions of Burgers 'equation by harmonic differential quadrature method
   求定积分或不定积分的过程称为积分法用调和微分求积法数值求解Burgers方程
5. The indefinite integral is an antiderivative.
   不定积分是反导数。
6. A Method of Solving Indefinite Integral with Triangular Functional Rational Formula; On the Accuracy of Solutions to One Problem of the Indefinite Integral
   求三角函数有理式不定积分的一种方法探求不定积分的一题多解莫忘解法的正确性
7. The indefinite integral calculation is one important sector in calculus.
   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。
8. A definite integral is an indefinite integral evaluated over an interval. The result is not affected by the choice for the value of C.
   定积分是区间上的不定积分值。结果不受C值选择的影响。
9. 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。
10. 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.
    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。
11. On the basis of the concepts of derivative and indefinite integral of classical function, the concepts of Fuzzy derivative and Fuzzy indefinite integral of classical function are put forword, and the fundamental properties of them are discussed.
    以经典函数的导数、不定积分概念为基础，给出了经典函数的Fuzy导数及Fuzzy不定积分的概念，讨论了Fuzzy导数及Fuzzy不定积分的基本性质。
12. It is very difficult to solve the indefinite integral with general method.
    用常规方法求解不定积分问题是相当困难的。
13. The Differential Method to Solve Indefinite Integral
    用微分方法求解不定积分问题
14. This paper discusses the property of the indefinite integral, indicating an error in the proof of the textbook and giving a correction.
    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。
15. Do not Ignore "Interval I" in Calculation of Indefinite Integral
    求不定积分的计算过程中不能忽视区间Ⅰ
16. With examples, the paper explains the roles of variable substitution in proving limit, indefinite integral definite integral, heavy integral and solving differential equation and how to use it.
    举例说明变量代换在求极限、不定积分、定积分、重积分、解微分方程中有什么作用以及怎样运用。
17. The Algebraical Interpretation of Indefinite Integral Formula
    不定积分公式的代数学解释
18. A New Method for Calculating Indefinite Integral
    计算不定积分的新方法
19. Partial integral calculus is the focal and difficult point in the teaching of indefinite integral, during which the option of u ( x) or v ′( x) is the key procedure.
    不定积分中的分部积分法是教学中的重点和难点，其中u（x）、v′（x）正确选择是关键。
20. The Non-elementary Property of Indefinite Integral
    不定积分的非初等性
21. This paper define the efficient combination and efficient combine function, study the periodic of efficient combine function derivative and indefinite integral of efficient combine function.
    在这片文章中，说明了什么是有效组合及有效组合函数，着重研究了有效组合函数、有效组合函数的导数和积分的周期性。
22. The Solving Methods of Indefinite Integral
    不定积分求解方法研究
23. The conception of relative integral is posed and the relation between the relative integral and indefinite integral is studied, its quality, basic formula, calculation ways and preliminary application are also studied.
    在微积分方面提出了相对积分的概念，并进一步研究了相对积分与不定积分的关系，相对积分的性质、基本公式、计算方法以及初步应用。
24. An Indefinite Integral Principle of Making Linear Combination and Reducing Power of Integrand
    不定积分的被积函数线性组合化及降幂的积分原则
25. Two Special Methods for Calculating Indefinite Integral
    计算不定积分的两种特殊方法
26. ( ps) conditions of indefinite integral equations with jumping nonlinearity
    具有跳跃非线性项的非正定核积分方程的（PS）条件
27. In this paper we study the way to reduce definite integral to double integral with two integral methods, and find solutions to indefinite integral, definite integral and broad integral by using deductive formula and symmetry.
    研究用二种积分方法联用，将定积分还原成二重积分以及运用递推公式、对称性求不定积分、定积分和广义积分的方法。
28. 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.
    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。
29. Through indefinite integral, definite integral and limit, the paper explanes how to use calculus method to solve integral problem. The method is Flexible, ingenious and wide scope of application.
    通过两个积分（一个是不定积分，一个是定积分）及一个极限，说明如何灵活使用积分法解决积分问题，方法灵活、巧妙，适用范围广。
30. So there are two special ways to calculate indefinite integral: way of equation and way of equation group.
    利用方程和方程组计算更简捷，于是得到计算不定积分的特殊方法：方程法和方程组法。

noun

1. the set of functions F(x) + C, where C is any real number, such that F(x) is the integral of f(x)