Twice Differentiable Function Integral (Jee Mains) | ExamDuo
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First Order Differential Equations
Hard
Twice Differentiable Function Integral
Let
F
:
[
3
,
5
]
→
R
be a twice differentiable function on
(
3
,
5
)
such that
F
(
x
)
=
e
−
x
x
∫
3
(
3
t
2
+
2
t
+
4
F
′
(
t
)
)
d
t
If
F
′
(
4
)
=
α
e
β
−
224
(
e
β
−
4
)
2
, then
α
+
β
is equal to _________.
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