巧用换元法计算不定积分
Integration by Substitution in Indefinite Integral
刘克英 1李鹏1
作者信息
- 1. 华北水利水电大学 数学与统计学院,河南 郑州 450046
- 折叠
摘要
不定积分题目的一题多解,有助于学生理解它们之间的联系,既能活跃教学气氛,又能激发学生学习数学的兴趣,培养学生的创新思维,在探索和总结中实现教学相长.以∫ dx/ex-1 为例,利用不同换元法计算不定积分.
Abstract
It is helpful for students to understand the relation between various methods and distinguish the charac-teristics of different substitution.The typical teaching of multiple solutions to one problem can not only enliven the teaching atmosphere,but also stimulate students'interests and cultivate students'innovative thinking,which needs to be constantly explored and summarized to sublimate the teaching of mathematics.Taking ∫dx/ex-1 as an example,integration by substitution in solving indefinite integrals by choosing various substitution is given.
关键词
积分/不定积分/换元法/一题多解/创新思维Key words
integral/indefinite integral/method of substitution/multiple solutions to one problem/innovative thinking引用本文复制引用
出版年
2024
NETL
NSTL
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