/

Learn

Saturday, 31 October

/

JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 13 April 2023, Shift 1, Maths Q25

Question 25 of 90 in this shift, Maths question 25 of 30, Section B.

Let for

x\in\mathbb{R}

,

S_0(x)=x

,

S_k(x)=C_kx+k\int_0^xS_{k-1}(t)\,dt

, where

C_0=1

,

C_k=1-\int_0^1S_{k-1}(x)\,dx

,

k=1,2,3,\ldots

. Then

S_2(3)+6C_3

is equal to ________.

Official answer

18

NTA final key.

Chapter: Integrals
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.