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Definite Integration question

2024 · 29 Jan · Shift 1 · Q48

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PYQ Library
JEE Main
Mathematics
Definite Integration
2024 · 29 Jan · Shift 1 · Q48

Definite Integration question

2024 · 29 Jan · Shift 1 · Q48

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

\mathop {\lim }\limits_{x \to {\pi \over 2}} \left( {{1 \over {{{\left( {x - {\pi \over 2}} \right)}^2}}}\int\limits_{{x^3}}^{{{\left( {{\pi \over 2}} \right)}^3}} {\cos \left( {{t^{{1 \over 3}}}} \right)dt} } \right)

is equal to

A
$\frac{3 \pi^2}{4}$
B
$\frac{3 \pi^2}{8}$
C
$\frac{3 \pi}{4}$
D
$\frac{3 \pi}{8}$

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