Mathematics Integral Calculus Indefinite Integrals

Let \(\rm I(x)=\int \frac{6}{\sin ^2 x(1-\cot x)^2} d x\). If I(0) = 3, then \(\rm {I}\left(\frac{\pi}{12}\right)\) is equal to :

1

√3

2

3√3

3

6√3

4

2√3

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