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Definite Integration question

2021 · 1 Sep · Shift 2 · Q24

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 1 Sep · Shift 2 · Q24

Definite Integration question

2021 · 1 Sep · Shift 2 · Q24

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let f : R

\to

R be a continuous function. Then

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

is equal to :

A
f (2)
B
2f (2)
C
2f $\left( {\sqrt 2 } \right)$
D
4f (2)

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