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Indefinite Integrals question

2024 · 8 Apr · Shift 1 · Q50

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JEE Main
Mathematics
Indefinite Integrals
2024 · 8 Apr · Shift 1 · Q50

Indefinite Integrals question

2024 · 8 Apr · Shift 1 · Q50

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

Let

I(x)=\int \frac{6}{\sin ^2 x(1-\cot x)^2} d x

. If

I(0)=3

, then

I\left(\frac{\pi}{12}\right)

is equal to

A
$\sqrt3$
B
$2\sqrt3$
C
$6\sqrt3$
D
$3\sqrt3$

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