JEE Main 2021 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 25 July 2021, Shift 1, Maths Q78

Question 78 of 90 in this shift, Maths question 18 of 30, Section A.

The value of the definite integral

\int_{\pi/24}^{5\pi/24}\frac{dx}{1+\sqrt[3]{\tan2x}}

is :

(1) $\frac{\pi}{18}$
(2) $\frac{\pi}{3}$
(3) $\frac{\pi}{12}$ Official answer
(4) $\frac{\pi}{6}$

Official answer

Option 3

NTA final key.

Chapter: Integrals
Topic: Definite Integral Properties
Idea tested: King's Property Rational Shortcut

Same topic in other shifts

All Definite Integral Properties questions

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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.