Functional Equation with Integral (Jee Mains) | ExamDuo
Ask Doubts
Log in
Definite Integrals and Reduction
Hard
Functional Equation with Integral
Let
f
(
x
)
=
x
+
a
π
2
−
4
s
i
n
x
+
b
π
2
−
4
cos
x
,
x
∈
ℝ
be a function which satisfies
f
(
x
)
=
x
+
π
∕
2
∫
0
s
i
n
(
x
+
y
)
f
(
y
)
d
y
. Then
(
a
+
b
)
is equal to
Ask about this question
SELECT ONE OPTION
A
−
π
(
π
+
2
)
B
−
2
π
(
π
+
2
)
C
−
2
π
(
π
−
2
)
D
−
π
(
π
−
2
)
Check