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Saturday, 31 October

JEE Main 2024 · MathsNumerical answerNumerical valueHardCalculation

JEE Main 4 April 2024, Shift 2, Maths Q26

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

If ∫cosec5x dx=αcot⁡x cosec x(coesc2x+32)+βlog⁡e∣tan⁡x2∣+C\int\mathrm{cosec}^5x\,dx=\alpha\cot x\,\mathrm{cosec}\,x\left(\mathrm{coesc}^2x+\frac{3}{2}\right)+\beta\log_e\left|\tan\frac{x}{2}\right|+C where α,β∈R\alpha,\beta\in\mathbb{R} and C is the constant of integration, then the value of 8(α+β)8(\alpha+\beta) equals __________

Official answer

1

NTA final key.

Chapter
Integrals
Topic
Integration by Parts
Idea tested
Trigonometric Reduction Formulas

Same idea in other shifts

Asked 2× in all
  1. 2 Apr 2017 (offline) · Q74Let In=∫tan⁡nx dx, (n>1)I_n=\int\tan^n x\,dx,\ (n>1). If I4+I6=atan⁡5x+bx5+CI_4+I_6=a\tan^5x+bx^5+C, where C is a constant of integration, then the ordered pair (a, b) is…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.