JEE Main 2024 · MathsNumerical answerNumerical valueHardCalculation

JEE Main 31 January 2024, Shift 1, Maths Q27

Question 27 of 90 in this shift, Maths question 27 of 30, Section B.

If the integral

525\int_0^{\frac{\pi}{2}}\sin2x\cos^{\frac{11}{2}}x\left(1+\cos^{\frac{5}{2}}x\right)^{\frac{1}{2}}dx

is equal to

\left(n\sqrt{2}-64\right)

, then

n

is equal to ______

Official answer

176

NTA final key.

Chapter: Integrals
Topic: Integration by Substitution
Idea tested: Fractional Powers LCM Substitution

Same topic in other shifts

All Integration by Substitution questions

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6 Apr 2024, Shift 2 · Q12If $\int\frac{1}{a^2\sin^2x+b^2\cos^2x}dx=\frac{1}{12}\tan^{-1}(3\tan x)+\text{constant}$ , then the maximum value of $a\sin x+b\cos x$ , 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 42 of the 174 JEE Main shifts held from 2017 to 2026.