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Mathematics
Mathematics
Problem
Let
f
f
f
be continuous on
[
2
,
b
]
[2,b]
[
2
,
b
]
. If the average value of
f
f
f
on this interval is
4
4
4
and
∫
2
b
f
(
x
)
d
x
=
12
\displaystyle \int_{2}^{b} f(x)\,dx = 12
∫
2
b
f
(
x
)
d
x
=
12
, what is the value of
b
b
b
? a)
3
3
3
b)
7
2
\dfrac{7}{2}
2
7
c)
5
5
5
d)
8
8
8
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