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ExamsJEE AdvancedGeneral

Let f : [1,  )  R be a differentiable function such that f(1) = 3 1 and ). , 1 [ x , 3 x ) x ( xf dt ) t ( f 3 x 1 3      Let e denot e the base of the natural logarithm. Then the value of f(e) is

  1. 3 4 e 2 
  2. 3 e 4 log e 
  3. 3 e 4 2
  4. 3 4 e 2 

Correct answer: 3 e 4 2

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