积分中值定理的再讨论

Rediscussion About Integral Mid-Value Theorem

积分中值定理是高等数学课程中的基本定理之一,有着广泛的应用价值。本文从积分中值定理的基本表述形式入手展开讨论,得出了积分中值定理的两种推广形式——积分第一中值定理和积分第二中值定理;并着重讨论了两种推广形式的证明过程。

The theorem of Integral mid - value is one of the basic theorems of Advanced Mathematics, which has widespread application. Based on the basic expressions of integral mean value, this paper provides two generalized forms, that is the first theorem of integral mean value and the second theorem of integral mean value. Moreover, the proofs of two generalized integral mean value is mail）, discussed.