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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
+
1
,
0
≤
x
≤
2
4
x
−
3
,
2
<
x
≤
4
.
f(x)=\begin{cases}x^{2}+1,&0\le x\le 2\\4x-3,&2< x\le 4\end{cases}.
f
(
x
)
=
{
x
2
+
1
,
4
x
−
3
,
0
≤
x
≤
2
2
<
x
≤
4
.
Calculate the average value of
f
f
f
on the interval
[
0
,
4
]
[0,4]
[
0
,
4
]
. a)
34
3
\dfrac{34}{3}
3
34
b)
17
3
\dfrac{17}{3}
3
17
c)
68
3
\dfrac{68}{3}
3
68
d)
19
3
\dfrac{19}{3}
3
19
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