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Friday, 9 October

JEE Main Maths · Integrals

Modulus Function Interval Splitting

Modulus Function Interval Splitting (Integrals) was asked 2 times in 2 JEE Main shifts, 2020–2025, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2020–2025
Usual format
Numerical value
Calculation
Pattern
Occasional
repeats across shifts

How it is asked

  • Definite integral with modulus splitting
  • Definite integral with nested modulus

Difficulty

Easy 1Medium 1Hard 0

Where it sits

Chapter: Integrals. Topic: Definite Integral Properties, 30 questions over 12 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 8 Apr 2025, Shift 2 · Q19The integral ∫−132(∣π2xsin⁡(πx)∣)dx\int_{-1}^{\frac{3}{2}} \left(\left|\pi^2 x \sin(\pi x)\right|\right) dx is equal to :MediumSingle correct
  2. 2 Sep 2020, Shift 1 · Q73The integral ∫02∣∣x−1∣−x∣dx\int_{0}^{2}\left||x-1|-x\right|dx is equal to ___________.EasyNumerical value