最后，结合拉格朗日微分中值定理改进了积分中值定理的条件和结论。

Finally, the condition and result of integral mean-value theorem are also improved combined with the Lagrange mean value theorem of differentials.

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给出了拉格朗日微分中值定理和第一积分中值定理中值点的渐进性的更一般性的结果及其简洁证明。

Gives more general results on the gradualness of the median point of Lagranges median theorem and first median theorem for integrals and its succinct proof.

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