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Definite Integration question

2024 · 9 Apr · Shift 2 · Q40

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JEE Main
Mathematics
Definite Integration
2024 · 9 Apr · Shift 2 · Q40

Definite Integration question

2024 · 9 Apr · Shift 2 · Q40

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

\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-\frac{\pi}{2}\right)^2}\right)

is equal to

A
$\frac{3 \pi^2}{2}$
B
$\frac{9 \pi^2}{8}$
C
$\frac{5 \pi^2}{9}$
D
$\frac{11 \pi^2}{10}$

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