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MHT CET20249 May 2024Evening ShiftMathematicsArea Under CurvesActual

The area (in sq. units), in the first quadrant bounded by the curve y=x^2+2 and the lines y=x+1, x=0 and x=2 , is

Options

  1. A1 3
  2. B2 3
  3. C5 3
  4. D8 3

Correct answer

D. 8 3

Step-by-step solution

aligned Required area & = ₀^2 [ (x^2+2 )-(x+1) ] d x & = ₀^2 (x^2-x+1 ) d x & = [ x^3 3 - x^2 2 +x ]₀^2 & = 8 3 -2+2-0 & = 8 3 sq. units aligned

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