JEE Main 2021 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 31 August 2021, Shift 2, Maths Q86

Question 86 of 90 in this shift, Maths question 26 of 30, Section B.

\int\frac{\sin x}{\sin^3 x+\cos^3 x}\,\mathrm{d}x = \alpha\log_e|1+\tan x|+\beta\log_e|1-\tan x+\tan^2 x|+\gamma\tan^{-1}\left(\frac{2\tan x-1}{\sqrt{3}}\right)+\mathrm{C}

, when C is constant of integration, then the value of

18(\alpha+\beta+\gamma^2)

is ______________.

Official answer

NTA final key.

Chapter: Integrals
Topic: Integration by Substitution
Idea tested: Negative Even Sum of Trig Powers Substitution

Same topic in other shifts

All Integration by Substitution questions

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5 Apr 2024, Shift 1 · Q11The integral $\int_0^{\pi/4}\frac{136\sin x}{3\sin x+5\cos x}\,dx$ is equal to :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 108 of the 174 JEE Main shifts held from 2017 to 2026.