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Let . The function is defined on . If the average value of on this interval is , find…
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Let
a
>
0
a>0
a
>
0
. The function
h
(
x
)
=
(
x
+
a
)
2
+
4
h(x)=(x+a)^{2}+4
h
(
x
)
=
(
x
+
a
)
2
+
4
is defined on
[
−
a
,
a
]
[-a,a]
[
−
a
,
a
]
. If the average value of
h
h
h
on this interval is
10
10
10
, find
a
a
a
.
Related theory
Antiderivatives
Applications of Integration
Fundamental theorem of calculus
Definite integrals
Integrals
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