摘要
本文利用变上限积分函数 ,依据罗尔中值定理证明了积分第一中值定理 ,并将定理条件改变 ,利用压缩映象不动点原理又给出了一种证明方法 ,同时给出了积分第一中值定理的几个推广。
Using variable upper limit integration and Rolle mean value theorom,thi s article proves the first mean value theorem.And after changing the conditions of the theorem,using contraction mapping fixed point theorem,the author gives th e second proving method and several spread of the first integral mean value theo rem.
