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不定积分

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Its primary coverage includes: Function and limit, derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral and application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral and curvilinear integral, infinite series, differential equation and so on.

其主要内容有:函数与极限,导数与微分,中值定理与导数应用,不定积分,定积分及其应用,空间解析几何与矢量代数,多元函数的微分法及其应用,重积分与曲线积分,无穷级数,微分方程等。

This curriculum primary coverage includes: Function and limit, a circular function derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral, definite integral application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral, curvilinear integral and surface integral, infinite series, differential equation.

该课程的主要内容有:函数与极限,一元函数的导数与微分,中值定理与导数的应用,不定积分,定积分,定积分的应用,空间解析几何和向量代数,多元函数微分法及其应用,重积分,曲线积分与曲面积分,无穷级数,微分方程。

Riemann integral can not be used in every limited function to get its definite integral.

因此,并不是每一个牛顿不定积分都可进行黎曼积分,并不是每个黎曼积分都存在牛顿不定积分,黎曼积分也并不能对每一个有界函数求定积分。

Course Content:The main part of this course is about infinitesimal calculus and ordinary differential equations,including :functions and limits,derivative and differential integral and their application,differential methods of function of several variables and its application,heavy integral,curve integral,camber integral,infinite progression and differential equations.

课程内容:学科教学法与CAI研究与实践是师范计算机专业教学系统的重要组成部分,学科教学法与CAI研究与实践课程是计算机科学教育的主要内容。通过本课程的学习使学生掌握现代学科教学法与CAI研究与实践的基本概念,基本原理和基本方法;能设计并使用所学的教学理论进行中学信息技术课程的教学设计,试讲,试教。课程内容:以微积分学和常微分方程为主干,介绍函数与极限,导数与微分,中值定理。不定积分,定积分及其应用,多元函数微分法及其应用,重积分,曲线积分与曲面积分,无穷级数及微分方程等。

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.

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

Meanwhile, having a good knowledge of the concept of the indefinite integral and selecting and using the indefinite integral method in the right way, is the key to put the indefinite integral calculates into practice.

不少学生对不定积分的计算总是掌握不好,究其原因,一是对不定积分的基本概念不清楚,二是对如何正确使用不定积分方法不清楚。1不定积分在计算中常用的概念1原函数的定义:若F′=f,则称F为f的一个原函数。

The indefinite integral formula of rational proper fraction function is worked out by utilizing the relation between derivation and indefinite integral, and indefinite integral is calculated by using derivative.

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

Indefinite integral concept,, indefinite integral nature of the basic integral formula, the indefinite integral proofs, indefinite integral substitution integration, integration by parts, the indefinite integral rational function integral.

不定积分概念,,不定积分性质,基本积分公式,不定积分证明方法,不定积分换元积分法,分部积分法,不定积分有理函数积分。

Indefinite integral concept,, indefinite integral nature of the basic integral formula, the indefinite integral proofs, indefinite integral substitution integration, integration by parts, the indefinite integral rational functions.

不定积分概念,,不定积分性质,基本积分公式,不定积分证明方法,不定积分换元积分法,分部积分法,不定积分有理函数积分。

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