高等数学研究
高等數學研究
고등수학연구
STUDIES IN COLLEGE MATHEMATICS
2014年
6期
44-46
,共3页
微分%积分%中值定理
微分%積分%中值定理
미분%적분%중치정리
differential%integral%mean value theorem
直观地阐述从微分中值定理到积分中值定理，乃至第二积分中值定理的演绎过程，指出积分中值定理的实质仍是微分中值定理，并在经典积分中值定理的条件下，得到更强的结论。
直觀地闡述從微分中值定理到積分中值定理，迺至第二積分中值定理的縯繹過程，指齣積分中值定理的實質仍是微分中值定理，併在經典積分中值定理的條件下，得到更彊的結論。
직관지천술종미분중치정리도적분중치정리，내지제이적분중치정리적연역과정，지출적분중치정리적실질잉시미분중치정리，병재경전적분중치정리적조건하，득도경강적결론。
In this paper ,we discuss the deductive process from the differential mean value theorem to the integral mean value theorem and further to the second integral mean value theorem intuitively .It is pointed out that the essence of the integral mean value theorem is still the differential mean value theorem .Moreover ,with the same condition ,we obtain an improved form of the of the classic integral mean value theorem .
