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If f : [0, p] → R is continuous and not stretchy integral subscript 0 end subscript superscript pi end superscript blankf(x) sin x dx = not stretchy integral subscript 0 end subscript superscript pi end superscript blankf(x) cos x dx = 0, then the number of roots of f(x) in (0, p) is

  1. zero    
  2. exactly one    
  3. exactly two    
  4. atleast two    

The correct answer is: atleast two

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