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Mathematics
Mathematics
Problem
The function
f
(
x
)
=
p
x
2
+
12
f(x)=p x^{2}+12
f
(
x
)
=
p
x
2
+
12
is integrated over the interval
[
0
,
p
]
[0,p]
[
0
,
p
]
, where
p
≠
0
p\neq 0
p
=
0
. If the average value on this interval is
21
21
21
, find
p
p
p
.
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