积分中值定理的推广及其应用

本文先就传统的徽积分教材中关于定积分核心理论部分的编排作一小小的调整以克服原有理论中的缺陷,然后对积分中值定理从三个方面进行推广。接着以大量的例子揭示推广了的积分中值定理广泛的应用前景。

THE EXPANSION AND APPLICATION OF INTEGRAL MEDIAN THEOREM

In this paper,a minor adjustment was made first in compiling and arranging the kernel theoretical part of the definite integral in the traditional calculu stextbooks so as to overcome the defects in the original theory. Then the expansion of integral median theorem was discussed from three aspects, Finally sufficient examples were given to demonstrate the wide-ranging application of the expanded integral median theorem.