Mathematics · 2024
JEE Main · 9 April 2024, Shift 2 · Q9
lim_x → (π)/2((∫_x^3^(π / 2)^3( sin (2 t^1 / 3)+ cos (t^1 / 3)) d t)/((x-(π)/2)^2)) is equal to
$\displaystyle \lim _{x \rightarrow \frac{\pi}{2}}\left(\frac{\int_{x^3}^{(\pi / 2)^3}\left(\sin \left(2 t^{1 / 3}\right)+\cos \left(t^{1 / 3}\right)\right) d t}{\left(x-\dfrac{\pi}{2}\right)^2}\right)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle \frac{9 \pi^2}{8}$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.