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The Trapezoidal Rule for Increasing Functions

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Let be a partition of , with ; then:

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≈ the sum of the rectangle areas + the sum of the triangle areas =.

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Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa (March 2011)
Open content licensed under CC BY-NC-SA

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Reference:

J. Urias, "Proof without Words: The Trapezoidal Rule (for Increasing Functions)," Mathematics Magazine, 68(3), 1995 p. 192.

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