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Question

Statements-1: stretchy integral subscript 0 end subscript superscript n x plus t end superscript   vertical line s i n invisible function application x vertical line d x= (2n + (a) cost (0 ttheta)
Statements-2: stretchy integral subscript a end subscript superscript b end superscript   f left parenthesis x right parenthesis d x equals stretchy integral subscript a end subscript superscript c end superscript   f left parenthesis x right parenthesis d x plus stretchy integral subscript c end subscript superscript b end superscript   f left parenthesis x right parenthesis d x
and stretchy integral subscript 0 end subscript superscript m end superscript   f left parenthesis x right parenthesis d x equals n stretchy integral subscript 0 end subscript superscript a end superscript   f left parenthesis x right parenthesis d x if f(a + x) = f(x)

  1. Statement1 is True, Statement2 is True; Statement2 is a correct explanation for Statement1    
  2. Statement1 is True, Statement2 is Tue; Statement2 is NOT a correct explanation for Statement1.    
  3. Statement1 is True, Statement2 is False    
  4. Statement 1 is False, statement2 is True.    

The correct answer is: Statement1 is True, Statement2 is True; Statement2 is a correct explanation for Statement1


    stretchy integral subscript 0 end subscript superscript n x plus t end superscript   vertical line s i n invisible function application x vertical line d x stretchy integral subscript equals 0 end subscript superscript t end superscript   vertical line s i n invisible function application x vertical line d x plus stretchy integral subscript t end subscript superscript n x plus t end superscript   vertical line s i n invisible function application x vertical line d x=
    = (2n + 1) cost

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