Recursive Sequence Integral Evaluation (Jee Mains) | ExamDuo
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Order, Degree and Formation
Hard
Recursive Sequence Integral Evaluation
Let for
x
∈
R
,
S
0
(
x
)
=
x
,
S
k
(
x
)
=
C
k
x
+
k
x
∫
0
S
k
−
1
(
t
)
dt
where
C
0
=
1
,
C
k
=
1
−
1
∫
0
S
k
−
1
(
x
)
dx
,
k
=
1
,
2
,
3
,
.
.
.
Then
S
2
(
3
)
+
6
C
3
is equal to _______.
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