Let I(x)=∫ 6/(sin ² x(1- cot x)²) d x. If I(0)=3, then I((π)/12) is equal to

Integral Calculus: JEE Main 2024 Mathematics question

JEE Main 2024 · 8 Apr, Morning shift · Q4040

JEE Main 20248 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

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

JEE Main 2024 · 8 Apr, Morning shift · Q4040

JEE Main 20248 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

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