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Evaluation of definite integrals
Question
∫
−
1
1
(
x
−
[
x
]
)
d
x
=
Easy
A
1
B
2
C
0
D
1
2
Solution
x
−
[
x
]
is periodic with period 1
I
=
2
∫
0
1
(
x
−
[
x
]
)
d
x
=
2
∫
0
1
x
d
x
=
1
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