JEE Main 2026 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 8 April 2026, Shift 2, Maths Q22

Question 22 of 75 in this shift, Maths question 22 of 25, Section B.

\int_{\pi/6}^{\pi/4} \left(\cot\left(x - \frac{\pi}{3}\right)\cot\left(x + \frac{\pi}{3}\right) + 1\right)dx = \alpha \log_e(\sqrt{3} - 1)

, then

9\alpha^2

is equal to ________.

Official answer

NTA final key.

Chapter: Integrals
Topic: Trigonometric Identities
Idea tested: Tangent and Cotangent Difference Identities

Same topic in other shifts

All Trigonometric Identities questions

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5 Apr 2026, Shift 1 · Q6Let $\tan A$ , $\tan B$ , where $A, B \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ , be the roots of the quadratic equation…MediumSingle correct
4 Apr 2025, Shift 2 · Q3Let the product of $\omega_1=(8+i)\sin\theta+(7+4i)\cos\theta$ and $\omega_2=(1+8i)\sin\theta+(4+7i)\cos\theta$ be $\alpha+i\beta$ ,…HardSingle correct
7 Apr 2025, Shift 1 · Q1If for $\theta \in \left[-\frac{\pi}{3}, 0\right]$ , the points…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.