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Mathematics
Mathematics
Problem
The average value of
f
(
x
)
=
1
+
4
x
f(x)=\sqrt{1+4x}
f
(
x
)
=
1
+
4
x
on the interval
[
1
,
5
]
[1,5]
[
1
,
5
]
is a)
1
30
(
21
3
/
2
−
5
3
/
2
)
\displaystyle\frac{1}{30}\bigl(21^{3/2}-5^{3/2}\bigr)
30
1
(
2
1
3/2
−
5
3/2
)
b)
21
+
5
2
\displaystyle\frac{\sqrt{21}+\sqrt{5}}{2}
2
21
+
5
c)
1
24
(
21
3
/
2
−
5
3
/
2
)
\displaystyle\frac{1}{24}\bigl(21^{3/2}-5^{3/2}\bigr)
24
1
(
2
1
3/2
−
5
3/2
)
d)
1
12
(
21
3
/
2
−
5
3
/
2
)
\displaystyle\frac{1}{12}\bigl(21^{3/2}-5^{3/2}\bigr)
12
1
(
2
1
3/2
−
5
3/2
)
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