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AP EAMCET201726 Apr 2017Morning ShiftMathematicsArea Under CurvesActual

The area (in sq. units) enclosed between the curves y=x^2 and y=|x| is

Options

  1. A2 3
  2. B1 6
  3. C1 3
  4. D1

Correct answer

C. 1 3

Step-by-step solution

Given curves are On solving Eqs. (i) and (i i) , we get x=0, x=1 Thus, coordinates of point B are (1,1) aligned Total area =2( Area of region O A B O) =2 ₀^1 (x-x^2 ) d x =2 [ x^2 2 - x^3 3 ]₀^1=2 [ 1 2 - 1 3 ] =2 1 6 = 1 3 sq unit aligned

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