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Suppose continuous functions and satisfy for every in
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Suppose continuous functions
f
f
f
and
g
g
g
satisfy
f
(
x
)
≥
g
(
x
)
f(x)\ge g(x)
f
(
x
)
≥
g
(
x
)
for every
x
x
x
in
[
1
,
4
]
[1,4]
[
1
,
4
]
, and
f
f
f
is not identically equal to
g
g
g
on that interval. Determine the relationship between the average values of
f
f
f
and
g
g
g
on
[
1
,
4
]
[1,4]
[
1
,
4
]
.
Related theory
Properties of Definite Integrals
Accumulation Concepts
Applications of Integration
Fundamental theorem of calculus
Definite integrals
Integrals
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