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Friday, 9 October

JEE Main Maths · Integrals

Even Power of Secant Substitution

Even Power of Secant Substitution (Integrals) was asked 2 times in 2 JEE Main shifts, 2020–2026, out of the 42 shifts Lumi analysed.

Times asked
2
in 2 shifts
Years
2020–2026
Usual format
Single correct
Calculation
Pattern
Occasional
repeats across shifts

How it is asked

  • Definite integral of trigonometric rational expression
  • Integral equals tan plus log form

Difficulty

Easy 0Medium 2Hard 0

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 1 · Q20The value of the integral ∫π/6π/3(4−cosec⁡2xcos⁡4x)dx\int_{\pi/6}^{\pi/3}\left(\frac{4 - \operatorname{cosec}^2 x}{\cos^4 x}\right)dx is:MediumSingle correct
  2. 9 Jan 2020, Shift 2 · Q62If ∫dθcos⁡2θ(tan⁡2θ+sec⁡2θ)=λtan⁡θ+2log⁡e∣f(θ)∣+C\int\frac{d\theta}{\cos^2\theta(\tan2\theta+\sec2\theta)}=\lambda\tan\theta+2\log_e|f(\theta)|+C where CC is a constant of…MediumSingle correct