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JEE Math Practice Question

If $$\int\limits_0^{{\pi \over 2}} {{{\cot x} \over {\cot x + \cos ecx}}} dx$$ = m($$\pi $$ + n), then m.n is equal to

  1. A.- 1
  2. B.1
  3. C.$$ - {1 \over 2}$$
  4. D.$${1 \over 2}$$

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