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JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 April 2024, Shift 1, Maths Q10

Question 10 of 90 in this shift, Maths question 10 of 30, Section A.

Let

f(x)=\begin{cases}-2, & -2 \le x \le 0\\ x-2, & 0<x \le 2\end{cases}

and

h(x)=f(|x|)+|f(x)|

. Then

\int_{-2}^{2} h(x)\,dx

is equal to :

(1) $1$
(2) $2$ Official answer
(3) $4$
(4) $6$

Official answer

Option 2

NTA final key.

Chapter: Integrals
Topic: Definite Integral Properties
Idea tested: Interval Splitting

Same idea in other shifts

Asked 2× in all

12 Apr 2023, Shift 1 · Q26If $\int_{-0.15}^{0.15}\left|100x^2-1\right|dx=\frac{k}{3000}$ , then $k$ is equal to _________.MediumNumerical value

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.