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COMEDK2015MathematicsArea Under Curves

Area bounded by the Y -axis, y= x, y= x , when 0 x 2 is

Options

  1. A2 -1
  2. B2( 2 -1)
  3. C( 2 +1)
  4. D2

Correct answer

A. 2 -1

Step-by-step solution

x and x intersects each other at ( 4 , 1 2 ) aligned Required area &= ₀^ / 4 x d x- ₀^ / 4 x d x &=[ x]₀^ / 4 -[- x]₀^ / 4 &= 1 2 - [ -1 2 +1 ]= 2 2 -1= 2 -1 aligned

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