Mathematics · 2023
JEE Main · 13 April 2023, Shift 1 · Q25
Let for x ∈ R, S_0(x)=x, S_k(x)=C_k x+k ∫_0^x S_k-1(t) d t, where C_0=1, C_k=1-∫_0^1 S_k-1(x) d x, k=1,2,3, …. Then S_2(3)+6 C_3 is equal to ____.
Let for $\displaystyle x \in \mathbb{R}, S_0(x)=x, S_k(x)=C_k x+k \int_0^x S_{k-1}(t) d t$, where $\displaystyle C_0=1, C_k=1-\int_0^1 S_{k-1}(x) d x, k=1,2,3, \ldots$. Then $\displaystyle S_2(3)+6 C_3$ is equal to
$\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
18
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.