JEE Main 2023 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 12 April 2023, Shift 1, Maths Q26

Question 26 of 90 in this shift, Maths question 26 of 30, Section B.

\int_{-0.15}^{0.15}\left|100x^2-1\right|dx=\frac{k}{3000}

, then

k

is equal to _________.

Official answer

575

NTA final key.

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

Same idea in other shifts

Asked 2× in all

4 Apr 2024, Shift 1 · Q10Let $f(x)=\begin{cases}-2, & -2 \le x \le 0\\ x-2, & 0<x \le 2\end{cases}$ and $h(x)=f(|x|)+|f(x)|$ . Then $\int_{-2}^{2} h(x)\,dx$ is…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 108 of the 174 JEE Main shifts held from 2017 to 2026.