Maths-
General
Easy

Question

f left parenthesis x right parenthesis equals not stretchy integral subscript blank superscript left parenthesis end superscript left parenthesis 2 minus fraction numerator 1 over denominator 1 plus x to the power of 2 end exponent end fraction minus fraction numerator 1 over denominator square root of 1 plus x to the power of 2 end exponent end root end fraction right parenthesis right parenthesis dxthenfis‐

  1. increasing in left parenthesis 0 comma blank infinity right parenthesis and decreasing in left parenthesis negative infinity comma blank 0 right parenthesis    
  2. increasing in left parenthesis negative infinity comma blank 0 right parenthesis and decreasing in left parenthesis 0 comma blank infinity right parenthesis    
  3. increasing in left parenthesis negative infinity comma blank infinity right parenthesis    
  4. decreasing in left parenthesis negative infinity comma blank infinity right parenthesis    

The correct answer is: increasing in left parenthesis negative infinity comma blank infinity right parenthesis

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