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Mathematics
Mathematics
Problem
A continuous function
f
f
f
is positive on the interval
[
4
,
4
+
L
]
[4, 4+L]
[
4
,
4
+
L
]
. If
∫
4
4
+
L
f
(
t
)
d
t
=
18
\int_{4}^{4+L} f(t)\,dt = 18
∫
4
4
+
L
f
(
t
)
d
t
=
18
and the average value of
f
f
f
over this interval is
3
3
3
, find the value of
L
L
L
.
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