Differentiable Function Integral Equation (Jee … | ExamDuo
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First Order Differential Equations
Hard
Differentiable Function Integral Equation
Let
f
be a differentiable function defined on
[
0
,
π
2
]
such that
f
(
x
)
>
0
and
f
(
x
)
+
x
∫
0
f
(
t
)
√
1
−
(
log
e
f
(
t
)
)
2
dt
=
e
,
∀
x
∈
[
0
,
π
2
]
.
Then
(
6
log
e
f
(
π
6
)
)
2
is equal to___
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