JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 8 April 2024, Shift 1, Maths Q10

Question 10 of 90 in this shift, Maths question 10 of 30, Section A.

Let

I(x)=\int\frac{6}{\sin^2x(1-\cot x)^2}dx

. If

I(0)=3

, then

I\left(\frac{\pi}{12}\right)

is equal to

(1) $2\sqrt{3}$
(2) $3\sqrt{3}$ Official answer
(3) $6\sqrt{3}$
(4) $\sqrt{3}$

Official answer

Option 2

NTA final key.

Chapter: Integrals
Topic: Integration by Substitution
Idea tested: Even Secant/Cosecant Power Substitution

Same topic in other shifts

All Integration by Substitution 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.