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财经类高校数学分析课程中不定积分的求解技巧的教学探讨

Discussion on the Teaching Method of Solving Indefinite Integral in Finance and Economics Colleges

理论数学前沿 / 2021,3(1)：1-6 / 2021-03-08 493 448

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• 作者： 张付臣     
• 单位：

  重庆工商大学数学与统计学院，经济社会应用统计重庆市重点实验室，重庆

• 关键词： 不定积分；教学方法；解题技巧
• Indefinite integral; Teaching methods; Problem-solving skills
• 摘要： 本文深入探讨和总结了在财经类高校中经济数学分析这门课程中不定积分求解方法的授课技巧，不定积分的求解方法主要包括公式法、换元积分法（第一换元积分法和第二换元积分法）、分部积分法、有理函数的积分法等，在实际不定积分题目的求解中这些求解方法往往不是孤立的，而是综合运用的。对于财经类高校中的大学生来说，只有熟练掌握这些方法才能够掌握好不定积分的求解技巧。掌握这些学习方法有助于提高大学生学习的兴趣与学习的积极性， 同时增强了老师教学和学生学习的效率，从而提高学生分析问题和解决实际问题的能力。
• This paper deeply summarizes and discusses the solution the method of indefinite integral in the course of economic mathematical analysis in finance and economics colleges. The solution methods of indefinite integral mainly include formula method, substitution integral method (first substitution integral method and second substitution integral method), integration by parts, integration of rational functions, etc. In the actual solution of indefinite integral, these methods are often not isolated, but integrated. For college students in finance and economics, only by mastering these methods can they master the solving skills of indefinite integral. Mastering these learning methods is helpful to improve the interest and enthusiasm of college students in learning, and at the same time, enhance the efficiency of teachers’ teaching and students’ learning, so as to improve the ability of students to analyze and solve practical problems.
• DOI： https://doi.org/10.35534/tms.0301001
• 引用： 张付臣．财经类高校数学分析课程中不定积分的求解技巧的教学探讨［J］．理论数学前沿， 2021，3（1）：1-6．