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JEE Math Practice Question

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

  1. A.$$\sqrt3$$
  2. B.$$2\sqrt3$$
  3. C.$$6\sqrt3$$
  4. D.$$3\sqrt3$$

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