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AP EAMCET202318 May 2023Morning ShiftMathematicsArea Under CurvesActual

The area (in sq. units) bounded by the curves y= 8 x , y=2 x and x=4 is

Options

  1. A12-8 2
  2. B12+8 2
  3. C12-8 4
  4. D12+8 4

Correct answer

A. 12-8 2

Step-by-step solution

The shaded region is the required area bounded by the curves aligned & Area = ₂^4 (2 x- 8 x ) d x & Area = [x^2-8 x ]₂^4=[16-8 4-4+8 2] aligned aligned & =12-8 ( 4 2 ) & =12-8 (2) aligned

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