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Definite Integration question

2007 · Shift 1 · Q27

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PYQ Library
JEE Advanced
Mathematics
Definite Integration
2007 · Shift 1 · Q27

Definite Integration question

2007 · Shift 1 · Q27

JEE AdvancedMathematicsDefinite IntegrationMCQ+3 / −1

\mathop {\lim }\limits_{x \to {\pi \over 4}} {{\int\limits_2^{{{\sec }^2}x} {f(t)\,dt} } \over {{x^2} - {{{\pi ^2}} \over {16}}}}

equal

A
${8 \over \pi }f(2)$
B
${2 \over \pi }f(2)$
C
${2 \over \pi }f\left( {{1 \over 2}} \right)$
D
$4f(2)$

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