This paper gives a simple proof of the first mid -value theorem of Integral.

本文就积分第一中值定理给出了一个简单的证明。

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Based on the integral inequality and other quality proved, the paper discusses the conclusion of the mid-value in theorem of integration mean which is got in open interval.

在证明了定积分不等式等性质的基础上，给出并证明了积分中值定理的中值在开区间内取得的结论。

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