A converse of the mean value theorem for integrals

Authors: Tong J.; Braza P. A.

Source: International Journal of Mathematical Education in Science and Technology, Volume 33, Number 2, 1 March 2002 , pp. 277-279(3)

Publisher: Taylor and Francis Ltd

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Abstract:

This note considers continuous functions f on an interval [a, b] and develops sufficient conditions to answer the question, for what points c in the interval is there a rectangle with height f(c) and some width beta-alpha that has a signed area equal to intalphabetaf(x)dx?

Language: English

Document Type: Research article

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