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The Trapezoidal Rule for Increasing Functions
Let
be a partition of
, with
; then:
≈ the sum of the rectangle areas + the sum of the triangle areas =
.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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Reference:
J. Urias, "Proof without Words: The Trapezoidal Rule (for Increasing Functions),"
Mathematics Magazine
,
68
(3), 1995 p. 192.
RELATED LINKS
Trapezoidal Rule
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Trapezoidal Rule for Increasing Functions
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheTrapezoidalRuleForIncreasingFunctions/
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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