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Indefinite Integrals question

2022 · 29 Jul · Shift 2 · Q28

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JEE Main
Mathematics
Indefinite Integrals
2022 · 29 Jul · Shift 2 · Q28

Indefinite Integrals question

2022 · 29 Jul · Shift 2 · Q28

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

For

I(x)=\int \frac{\sec ^{2} x-2022}{\sin ^{2022} x} d x

, if

I\left(\frac{\pi}{4}\right)=2^{1011}

, then

A
$3^{1010} I\left(\frac{\pi}{3}\right)-I\left(\frac{\pi}{6}\right)=0$
B
$3^{1010} I\left(\frac{\pi}{6}\right)-I\left(\frac{\pi}{3}\right)=0$
C
$3^{1011} I\left(\frac{\pi}{3}\right)-I\left(\frac{\pi}{6}\right)=0$
D
$3^{1011} I\left(\frac{\pi}{6}\right)-I\left(\frac{\pi}{3}\right)=0$

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