高等数学研究
高等數學研究
고등수학연구
STUDIES IN COLLEGE MATHEMATICS
2014年
4期
123-126
,共4页
反常积分%收敛%无穷小%习题课
反常積分%收斂%無窮小%習題課
반상적분%수렴%무궁소%습제과
improper integral%convergence%infinitesimal%exercise class
在反常积分习题课教学中,选取适当例题,诠释反常积分与定积分之间的差异。通过变更或补充被积函数所满足的条件,设计相应习题,并最终借助题解说明,在一定条件下,对收敛的反常积分,其被积函数在无穷远处必为无穷小。
在反常積分習題課教學中,選取適噹例題,詮釋反常積分與定積分之間的差異。通過變更或補充被積函數所滿足的條件,設計相應習題,併最終藉助題解說明,在一定條件下,對收斂的反常積分,其被積函數在無窮遠處必為無窮小。
재반상적분습제과교학중,선취괄당례제,전석반상적분여정적분지간적차이。통과변경혹보충피적함수소만족적조건,설계상응습제,병최종차조제해설명,재일정조건하,대수렴적반상적분,기피적함수재무궁원처필위무궁소。
This paper discusses teaching improper integral in Exercise Classes .By choosing appropriate examples ,we show the difference between improper integral and definite integral .By changing or adding the conditions of the integrand functions and with some examples ,we show that ,under certain conditions ,the integrand of a convergent improper integral over an unbounded interval is infinitesimal at infinity .