Integral Function Properties (Jee Mains) | ExamDuo
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Definite Integration Properties
Medium
Integral Function Properties
Let
g
(
t
)
=
π
∕
2
∫
−
π
∕
2
cos
(
π
4
t
+
f
(
x
)
)
d
x
, where
f
(
x
)
=
log
e
(
x
+
√
x
2
+
1
)
,
x
∈
R
. Then which one of the following is correct?
Ask about this question
SELECT ONE OPTION
A
g
(
1
)
=
g
(
0
)
B
√
2
g
(
1
)
=
g
(
0
)
C
g
(
1
)
=
√
2
g
(
0
)
D
g
(
1
)
+
g
(
0
)
=
0
Check