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JEE Math Practice Question

Let $$F\left( x \right) = f\left( x \right) + f\left( {{1 \over x}} \right),$$ where $$f\left( x \right) = \int\limits_l^x {{{\log t} \over {1 + t}}dt,} $$ Then $$F(e)$$ equals

  1. A.$$1$$
  2. B.$$2$$
  3. C.$$1/2$$
  4. D.$$0$$

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