JEE Mains 13-Apr-2023 Shift 1 Solved Paper

Section: Mathematics
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Question : 28 of 90
 
Marks: +1, -0
Let for x∈R,S0(x)=x,Sk(x)=Ckx+k‌
x
∫
0
Sk−1(t)‌dt
where C0=1,Ck=1−
1
∫
0
Sk−1(x)‌dx
,k=1
,2
,3
,...
Then S2(3)+6C3 is equal to _______.
[13-Apr-2023 shift 1]
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