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JEE Math Practice Question

The integral $$\int_{{\pi \over {12}}}^{{\pi \over 4}} {\,\,{{8\cos 2x} \over {{{\left( {\tan x + \cot x} \right)}^3}}}} \,dx$$ equals :

  1. A.$${{15} \over {128}}$$
  2. B.$${{15} \over {64}}$$
  3. C.$${{13} \over {32}}$$
  4. D.$${{13} \over {256}}$$

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