Mathematics · 2024
JEE Main · 1 February 2024, Shift 1 · Q10
The value of the intergral ∫_0^π / 4 (x d x)/(sin^4(2 x)+ cos^4(2 x)) equals:
The value of the intergral $\displaystyle \int_0^{\pi / 4} \frac{x \mathrm{~d} x}{\sin ^4(2 x)+\cos ^4(2 x)}$ equals :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \frac{\sqrt{2} \pi^2}{32}$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.