JEE Main · Maths · Integrals
Logarithm of Quadratic Roots
JEE Main asked Logarithm of Quadratic Roots 2 times in 2 of the 108 shifts Lumi analysed, in 2023 and 2024. It belongs to Integration by Parts, in Integrals (Maths). The longest wait between two years asking it was 1 year.
Updated 2026-10-24
- Times asked
- 2
- in 2 shifts
- Years
- 2 of 8
- First asked
- 2023
- last in 2024
- Pattern
- Occasional
- across the analysed shifts
Questions on this idea a shift, by year
2017–2026. Asked in 2023 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.
Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 1 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.
Shift by shift
Each square is one analysed shift, in date order. Open a filled one for that paper.
How JEE Main framed it
Single correct is the usual form. Skill tested: calculation.
- Definite integral of log of quadratic root
- Definite integral with log of root expression
Difficulty
Every question was multiple choice.
Every question
All 2 questions
From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.
- 9 Apr 2024, Shift 2 · Q12The value of the integral isMediumSingle correct
- 11 Apr 2023, Shift 1 · Q15The value of the integral is equal toHardSingle correct
Shifts: 11 Apr 2023, Shift 1, 9 Apr 2024, Shift 2.
Same topic
Other ideas in Integration by Parts
Integration by Parts has 9 ideas JEE Main has asked; 4 of them came up in more than one question.
- Algebraic Reduction Formulas3× · 2023
- Trigonometric Reduction Formulas2× · 2024
- Inverse Trig Simplification Before Parts2× · 2021
- Roots of Quadratics via Partsonce · 2025
- Generalized Reverse Product Ruleonce · 2023
- Exponential Form with Improper Rational Functionsonce · 2022
- Exponential Special Formonce · 2020
- Integrability over ILATEonce · 2020