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AP EAMCET202317 May 2023Evening ShiftMathematicsArea Under CurvesActual

The area bounded by the curve y=x^2 and y-6=-|x| is

Options

  1. A37 4
  2. B22 3
  3. C44 3
  4. D38 3

Correct answer

C. 44 3

Step-by-step solution

Let us first draw the curves y=x^2 & y-6=-|x| : For point A , solving y=x^2 ang y-6=-x , we get: x=2 & y=4 A (2,4) The required area = Area (O A B C)=2 Area (O A B) aligned & =2 ( Area ( OAD )+ Area ( DAB )) & =2 ( ₀^4 x d x+ ₄^6(-x+6) d x )=2 [ 16 3 +2 ]= 44 3 aligned

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