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AP EAMCET202315 May 2023Evening ShiftMathematicsArea Under CurvesActual

The area (in sq. units) of the region bounded by the curves y=4| x| and y=-| x| from x=- 2 to 2 is

Options

  1. A6
  2. B8
  3. C12
  4. D10

Correct answer

D. 10

Step-by-step solution

Given the curve y=4| x|, y=-| x| Required area = _ - / 2 ^ / 2 (4 x-(- x)) d x=5 _ - / 2 ^ / 2 x d x=5 2 ₀^ / 2 x d x=10 1=10

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