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Friday, 9 October

JEE Main Maths · Integrals

Exponential Factor Manipulation

Exponential Factor Manipulation (Integrals) was asked 2 times in 2 JEE Main shifts, 2022–2026, out of the 42 shifts Lumi analysed.

Times asked
2
in 2 shifts
Years
2022–2026
Usual format
Single correct
Multi-step
Pattern
Occasional
repeats across shifts

How it is asked

  • Definite integral with parameter from ap and minimum
  • Integrate given slope then evaluate point

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. 5 Apr 2026, Shift 2 · Q18Let (21−a+21+a)(2^{1-a}+2^{1+a}), f(a)f(a), (3a+3−a)(3^a+3^{-a}) be in A.P. and α\alpha be the minimum value of f(a)f(a). Then the value of the integral…HardSingle correct
  2. 25 Jul 2022, Shift 1 · Q10The slope of the tangent to a curve C:y=y(x)C:y=y(x) at any point (x,y)(x,y) on it is…HardSingle correct