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NDA Math Definite Integrals
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© examsnet.com
Question : 19
Total: 62
What is
b
∫
a
[
x
]
d
x
+
b
∫
a
[
−
x
]
d
x
equal to, where [.] is the greatest integer function?
[NDA II 2018]
b
–
a
a
–
b
0
2(b – a)
Validate
Solution:
b
∫
a
[
x
]
d
x
+
b
∫
a
[
−
x
]
d
x
=
b
∫
a
(
[
x
]
+
[
−
x
]
)
d
x
=
b
∫
a
(
−
1
)
d
x
=
a
−
b
© examsnet.com
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