JEE Main 2024 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 30 January 2024, Shift 2, Maths Q13

Question 13 of 90 in this shift, Maths question 13 of 30, Section A.

Let

f: \mathbb{R} \to \mathbb{R}

be a function defined by

f(x) = \frac{x}{(1+x^4)^{1/4}}

, and

g(x) = f(f(f(f(x))))

. Then,

18\int_0^{\sqrt{2\sqrt{5}}} x^2 g(x)dx

is equal to

(1) $33$
(2) $42$
(3) $36$
(4) $39$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Integrals
Topic: Integration by Substitution
Idea tested: Composite Function Substitution

Same idea in other shifts

Asked 5× in all

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16 Mar 2021, Shift 2 · Q81For real numbers $\alpha,\beta,\gamma$ and $\delta$ , if…HardNumerical value
18 Mar 2021, Shift 1 · Q73The integral $\int\dfrac{(2x-1)\cos\sqrt{(2x-1)^2+5}}{\sqrt{4x^2-4x+6}}\,dx$ is equal to : (where c is a constant of integration)MediumSingle correct

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 42 of the 174 JEE Main shifts held from 2017 to 2026.