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Question

Let I equals stretchy integral subscript 0 end subscript superscript 1 end superscript   fraction numerator sin invisible function application x over denominator square root of x end fraction d x text  and  end text J equals stretchy integral subscript 0 end subscript superscript 1 end superscript   fraction numerator cos invisible function application x over denominator square root of x end fraction d x text  . end text Then which one of the following is true ?

  1. I greater than fraction numerator 2 over denominator 3 end fraction text  and  end text J greater than 2    
  2. I less than fraction numerator 2 over denominator 3 end fraction text  and  end text J less than 2    
  3. I less than fraction numerator 2 over denominator 3 end fraction text  and  end text J greater than 2    
  4. I greater than fraction numerator 2 over denominator 3 end fraction text  and  end text J less than 2    

The correct answer is: I less than fraction numerator 2 over denominator 3 end fraction text  and  end text J less than 2

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