Definite Integral Greatest Integer Function (Je… | ExamDuo
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Definite Integrals and Reduction
Hard
Definite Integral Greatest Integer Function
If the integral
10
∫
0
[
sin
2
π
x
]
e
x
−
[
x
]
d
x
=
α
e
−
1
+
β
e
−
1
2
+
γ
, where
α
,
β
,
γ
are integers and
[
x
]
denotes the greatest integer less than or equal to
x
, then the value of
α
+
β
+
γ
is equal to
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SELECT ONE OPTION
A
0
B
20
C
25
D
10
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