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Question

If f left parenthesis 0 right parenthesis equals 2 comma f apostrophe left parenthesis x right parenthesis equals f left parenthesis x right parenthesis comma ϕ left parenthesis x right parenthesis equals x plus f left parenthesis x right parenthesis then not stretchy integral subscript 0 end subscript superscript 1 end superscript f left parenthesis x right parenthesisf (x) dx is

  1. e2    
  2. 2 e to the power of 2 end exponent    
  3. 2e    
  4. none of these    

The correct answer is: 2 e to the power of 2 end exponent

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