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从广义积分的解题误区说开去
引用本文:郝祥晖,段志霞.从广义积分的解题误区说开去[J].济源职业技术学院学报,2010,9(4):33-35,42.
作者姓名:郝祥晖  段志霞
作者单位:济源职业技术学院基础部,河南济源459000
摘    要:由学生的解题分歧出发,分析讨论出现分歧的根源,并根据连续的奇、偶函数在对称区间-a,a]上定积分的结论,进一步给出三个定理来求连续的奇、偶函数在积分区间为(-∞,+∞)上的广义积分,达到简化计算的目的。

关 键 词:广义积分  奇函数  偶函数

Discussion on Mistaken Solution of Improper Integral
HAO Xiang-hui,DUAN Zhi-xia.Discussion on Mistaken Solution of Improper Integral[J].JOurnal of Jiyuan Vocational and Technical College,2010,9(4):33-35,42.
Authors:HAO Xiang-hui  DUAN Zhi-xia
Institution:(Department of Basic Courses,Jiyuan Vocational and Technical College,Jiyuan 459000 Henan)
Abstract:Based on the solution difference of the students,the reasons of the difference are discussed.Furthermore,according to the existing result of the definite integral of continuous odd functions and even functions in the interval,three theorems to calculate their improper integral in the interval are given to simplify the calculation.
Keywords:improper integral  odd function  even function
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