Question

Let for x∈R, S0(x)=x,Sk(x)=Ckx+k$∫^x_0S_{k−1}$(t)dt, where C0=1,Ck≡1−$∫^1_0S_{k−1}$(x)dx,k==1,2,3,..... Then s2(3)+6c3 is equal to___.

Answer 1

The correct answer is: 18