Mathematics · 2024
JEE Main · 29 January 2024, Shift 1 · Q8
lim_x → (π)/2(1/((x-(π)/2)^2) ∫_x^3^((π)/2)^3 cos (t^(1/3)) d t) is equal to
$\displaystyle \lim _{x \rightarrow \frac{\pi}{2}}\left(\frac{1}{\left(x-\dfrac{\pi}{2}\right)^2} \int_{x^3}^{\left(\frac{\pi}{2}\right)^3} \cos \left(t^{\frac{1}{3}}\right) d t\right)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \frac{3 \pi^2}{8}$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.