JEE Main 31 January 2024, Shift 2, Maths Q26

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

\left|\frac{120}{\pi^3}\int_0^{\pi}\frac{x^2\sin x\cos x}{\sin^4x+\cos^4x}dx\right|

is equal to ____________.

Official answer

NTA final key.

Chapter: Integrals
Topic: Definite Integral Properties
Idea tested: Removing 'x' using King's Property

Same idea in other shifts

Asked 2× in all

7 Apr 2025, Shift 1 · Q18The integral $\int_0^{\pi} \frac{(x+3)\sin x}{1+3\cos^2 x}\,dx$ is equal toMediumSingle 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.