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Definite Integrals and Reduction
Hard
Greatest Integer Function Definite Integral Sum
Let
f
(
x
)
=
min
{
[
x
−
1
]
,
[
x
−
2
]
,
.
.
.
,
[
x
−
10
]
}
where
[
t
]
denotes the greatest integer
≤
t
. Then
∫
0
10
f
(
x
)
d
x
+
∫
0
10
(
f
(
x
)
)
2
d
x
+
∫
0
10
|
f
(
x
)
|
d
x
is equal to ________.
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