Two Integral Mean Value Theorems of Flett Type

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If is continuous on the closed interval and , then there exist and in such that

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and

The theorem is illustrated by the equivalence of the blue and striped areas.

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Contributed by: Soledad María Sáez Martínez and Félix Martínez de la Rosa (May 2008)
Open content licensed under CC BY-NC-SA


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Reference: S. G. Wayment, "An Integral Mean Value Theorem," Math. Gazette, 54, 1970 pp. 300–301.



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