摘要
本文根据积分上限函数的性质利用微分中值定理证明了积分第一中值定理,用改进的介值定理证明了ξ∈(a,b),并推广了积分第一中值定理。
This paper proves the first mean value theorem for integrals according to the nature of the integral upper limit function and by using differential mean value theorem.It also uses the improved intermediate value theorem to proveξ∈(a,b) and spread the first mean value theorem.
出处
《内蒙古财经学院学报（综合版）》
2011年第3期146-148,共3页
Journal of inner Mongolia finance and economics college
关键词
积分上限函数
微分中值定理
介值定理
the integral upper limit function
differential mean value theorem
intermediate value theorem
