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Friday, 9 October

JEE Main Maths · Integrals

Logarithm of Quadratic Roots

Logarithm of Quadratic Roots (Integrals) was asked 2 times in 2 JEE Main shifts, 2023–2024, out of the 42 shifts Lumi analysed.

Times asked
2
in 2 shifts
Years
2023–2024
Usual format
Single correct
Calculation
Pattern
Occasional
repeats across shifts

How it is asked

  • Definite integral of log of quadratic root
  • Definite integral with log of root expression

Difficulty

Easy 0Medium 1Hard 1

Where it sits

Chapter: Integrals. Topic: Integration by Parts, 6 questions over 5 ideas.

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 9 Apr 2024, Shift 2 · Q12The value of the integral ∫−12log⁡e(x+x2+1)dx\int_{-1}^{2}\log_e\left(x+\sqrt{x^2+1}\right)dx isMediumSingle correct
  2. 11 Apr 2023, Shift 1 · Q15The value of the integral ∫−log⁡e2log⁡e2ex(log⁡e(ex+1+e2x))dx\int_{-\log_e 2}^{\log_e 2} e^x\left(\log_e\left(e^x + \sqrt{1+e^{2x}}\right)\right)dx is equal toHardSingle correct