Learn

Friday, 9 October

JEE Main Maths · Integrals

Removing 'x' using King's Property

Removing 'x' using King's Property (Integrals) was asked 2 times in 2 JEE Main shifts, 2024–2025, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2024–2025
Usual format
Numerical value
Multi-step
Pattern
New since 2024
repeats across shifts

How it is asked

  • Definite integral using king's property

Difficulty

Easy 0Medium 1Hard 1

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. 7 Apr 2025, Shift 1 · Q18The integral ∫0π(x+3)sin⁡x1+3cos⁡2x dx\int_0^{\pi} \frac{(x+3)\sin x}{1+3\cos^2 x}\,dx is equal toMediumSingle correct
  2. 31 Jan 2024, Shift 2 · Q26∣120π3∫0πx2sin⁡xcos⁡xsin⁡4x+cos⁡4xdx∣\left|\frac{120}{\pi^3}\int_0^{\pi}\frac{x^2\sin x\cos x}{\sin^4x+\cos^4x}dx\right| is equal to ____________.HardNumerical value