The mensuration of indefinite integral of rational functions
有理函数的不定积分的求法
The indefinite integral calculation is one important sector in calculus.
不定积分的计算是微积分中的重要一环,熟练掌握不定积分的概念和正确选用不定积分的方法是实施不定积分的关键。
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。
The solution of indefinite integration of ｜f(x)｜;
|f(x)|不定积分的一种求法
there are four solutions of indefinite integration in paper:direct integration,the first exchangeable integration,the second exchange- able integration,parcel integration.
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 three solutions of indefinite integration in this paper:direct integration,exchangeable integration,parcel integration.
文章给出了不定积分的三种求解方法,直接积分法、换元积分法、分部积分法,结合实例讨论了这些方法在不定积分求解中的可行性,对快速正确求解不定积分有一定的意义。
This article mainly introduces three methods of constructiong auxiliary function:the method of difference,the method of observation,and the method of indefinite integral.
微积分中中值定理的证明应用是一个难点,构造辅助函数是证题常用的手段之一,本文主要介绍构造辅助函数的三种方法：作差法、观察法和不定积分法。
The process of solving either a definite or an indefinite integral is called integration.
求定积分或不定积分的过程称为积分法
The indefinite integral is an antiderivative.
不定积分是反导数。
Integral Calculus: definite and indefinite integrals; fundamental theorem of calculus; techniques of integration; Taylor's Theorem; applications in geometry, physics and engineering.
积分学：定积分与不定积分、本定理、积分的方法、勒定理、分学在几何、理和工程学上的应用。
Evaluating the Indefinite Integral Through the Invariance of Derivative of n th Order;
用n阶导数的形式不变性求不定积分
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。
The Solutions of Indefinite Integral in Integrand with x~(1/2);
被积函数中含有x~(1/2)的不定积分的求法
Enhancing the Backward Thought Training in Indefinite Integral Teaching;
在不定积分教学中重视逆向思维训练
A Discussion on the Integration of the Rational Formula of Trigonometric Function;
对“三角函数有理式不定积分”的探讨
To Get Some Indeterminate Integral by means of Sloving System of Equations(Two);
利用解方程组求解某些不定积分(二)
A Brief Introduction to the Embodiment of "Beauty” During the Process of Indefinite Intergral Teaching;
浅谈不定积分教学过程中“美”的体现
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”
An analysis and counter-measures on some common mistakes of indefinite integral;
不定积分计算中几类常见错误成因分析及对策
Some solutions to the indefinite integral of a rational function and their generalization;
一个有理函数的不定积分的多解和推广
A Method of Solving Indefinite Integral with Triangular Functional Rational Formula;
求三角函数有理式不定积分的一种方法
THE DETERMINATION OF AUXILIARY FUNCTIONS WITH THE AID OF INDEFINITE INTEGRALS;
用不定积分法求介值存在性问题中的辅助函数
On the Accuracy of Solutions to One Problem of the Indefinite Integral
探求不定积分的一题多解莫忘解法的正确性
Contrast between Snow Cover Data of Different Definitions
基于不同积雪日定义的积雪资料比较分析
Definition of Definite Integral and Popularization of Certain Important Inequality;
定积分的定义与某些重要不等式的推广应用