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Friday, 9 October

JEE Main Maths · Integrals

Factoring Highest Power for Substitution

Factoring Highest Power for Substitution (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
Multi-step
Pattern
Occasional
repeats across shifts

How it is asked

  • Integrate algebraic radical expression by substitution
  • Integral by factoring out highest power

Difficulty

Easy 0Medium 0Hard 2

Where it sits

Chapter: Integrals. Topic: Integration by Substitution, 22 questions over 15 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 7 Apr 2025, Shift 2 · Q24If…HardNumerical value
  2. 8 Jan 2020, Shift 1 · Q60If ∫cos⁡x dxsin⁡3x (1+sin⁡6x)2/3=f(x) (1+sin⁡6x)1/λ+c\int\dfrac{\cos x\,dx}{\sin^3 x\,(1+\sin^6 x)^{2/3}}=f(x)\,(1+\sin^6 x)^{1/\lambda}+c where c is a constant of integration, then…HardSingle correct