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Two Integral Mean Value Theorems
If
is continuous on the closed interval
, then there exist
and
in
such that
and
.
Contributed by:
Soledad María Sáez Martínez
and
Félix Martínez de la Rosa
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Reference: J. Tong, "A Generalization of the Mean Value Theorem for Integrals,"
The College Mathematics Journal
,
33
(5), 2002 pp. 408–409.
RELATED LINKS
Mean-Value Theorem
(
Wolfram
MathWorld
)
Mean Value Theorem
(
Wolfram Demonstrations Project
)
A Generalization of the Mean Value Theorem
(
Wolfram Demonstrations Project
)
Integral Mean Value Theorem
(
Wolfram Demonstrations Project
)
Flett's Theorem
(
Wolfram Demonstrations Project
)
The Integral Mean Value Theorem: An Illustration
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
"
Two Integral Mean Value Theorems
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TwoIntegralMeanValueTheorems/
Contributed by:
Soledad María Sáez Martínez
and
Félix Martínez de la Rosa
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