摘要
广义积分或反常积分是工科微积分教学的难点,其困难之一是需要针对被积函数和积分区间的不同情况给出不同定义,对复杂情况还涉及这些定义的叠加使用.本文把定积分定义的推广归结到一种情况,从而避免过多数学概念的讨论,达到简化教学过程并提升教学效率的目的.
Improper Integral in open interval is difficult in the process of teaching calculus.One of the problems is giving different definitions according to the integrand and integration interval.These definitions are using together in some complex cases.Now the definition of definite integral is popularized to one case and it avoids the more discussing of mathematical concepts.It improves the teaching efficiency greatly.
作者
范周田
张汉林
FAN Zhou-tian;ZHANG Han-lin(College of Science,Beijing University of Technology,Beijing 100124,China)
出处
《大学数学》
2018年第6期77-80,共4页
College Mathematics