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Manipal MET2023MathematicsArea Under Curves

The area bounded by the curves y= x , - 3 x 3 , y= x, 6 x 2 and the X -axis is

Options

  1. A3
  2. B2
  3. C2
  4. D( 3 2 )

Correct answer

C. 2

Step-by-step solution

The given curves, y= x and y= x meet at x= 4 . Required area = ₀^ / 4 x d x+ _ / 4 ^ / 2 x d x aligned & =( x)₀^ / 4 +( x)_ / 4 ^ / 2 & = 2 - 1 2 =2 2 = 2 aligned

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