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NDA2013MathematicsArea Under CurvesActual

What is the area bounded by y= x, y=0 and x= 4 ?

Options

  1. Aln 2 square units
  2. B2 2 square units
  3. C2( 2) square units
  4. DNone of the above

Correct answer

B. 2 2 square units

Step-by-step solution

Required area is the shaded portion OAB . aligned & = ₀^ 4 (x) d x=[ ( (x))]₀^ / 4 & = ( 4 )- (0) & = ( 2 )- (1) & = 1 2 (2)-0= (2) 2 aligned

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