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NDA Math Definite Integrals
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© examsnet.com
Question : 39
Total: 62
What is
∫
−
2
2
x
d
x
−
∫
−
2
2
[
x
]
d
x
equal to, where [ ·] is the greatest integer function?
[NDA I 2016]
0
1
2
4
Validate
Solution:
2
∫
−
2
x
d
x
−
2
∫
−
2
[
x
]
d
x
=
[
x
2
2
]
−
2
2
−
−
1
∫
−
2
[
x
]
d
x
−
0
∫
−
1
[
x
]
d
x
−
1
∫
0
[
x
]
d
x
−
2
∫
1
[
x
]
d
x
=
1
2
[
4
−
4
]
−
(
−
2
)
−
(
−
1
)
−
0
−
(
1
)
=
2
+
1
−
1
=
2
© examsnet.com
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