积分第一中值定理的改进及其应用

Improvement upon the First Integral Mean Value Theorem and Its Applications

对积分第一中值定理在完全相同的条件下进行了改进和加强 ,并给出了应用举例 .可以看出改进后定理的应用更广泛。

In this paper, the first integral mean value theorem is im proved under the same conditions. Then the applications of the proposed theorems are given by illustration with examples. The improved conclusion is more profou nd than before; its applications are more extensive and effective.