摘要
本文的目的是对积分中值定理加以改进:减弱其条件而加强其结论使其与微分中值定理,“牛顿——莱布尼兹”公式统一起来,并大大地扩充了积分中值定理的应用范围。
This article tries to improve the Mean Value Theorem in Integration, weaken its conditions while strengthen its conclusion, so as to make it in accordance with the ' Newton- Leibniz ' Formular and the Mean Value Theorem in Differentiation. In this way, the application scope of the Mean Value Theorem in Integration is largely expanded.
