Maths-
General
Easy

Question

Let g(x) be a function defined on [0, 7] and g(x) = stretchy integral subscript 0 end subscript superscript x end superscript   f left parenthesis t right parenthesis d t where f is the function whose graph is as shown in figure given below, then

If value of g(b) isblank l, then l =

  1. 5    
  2. 7    
  3. 3    
  4. 9    

The correct answer is: 5


    g left parenthesis 2 right parenthesis equals stretchy integral subscript 0 end subscript superscript 2 end superscript   f left parenthesis t right parenthesis d t
    equals stretchy integral subscript 0 end subscript superscript 1 end superscript   f left parenthesis t right parenthesis d t plus stretchy integral subscript 1 end subscript superscript 2 end superscript   f left parenthesis t right parenthesis d t
    equals 1 cross times 2 plus fraction numerator 1 over denominator 2 end fraction left square bracket 2 plus 4 right square bracket
    = 2 + 3 = 5

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