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MHT CET20244 May 2024Evening ShiftMathematicsArea Under CurvesActual

The area (in square units) in the first quadrant bounded by the curve y=x^2+2 and the lines y=x+1, x=0 and x=3 , is

Options

  1. A15 4
  2. B21 2
  3. C17 4
  4. D15 2

Correct answer

D. 15 2

Step-by-step solution

aligned Required area & = ₀^3 (x^2+2 )-(x+1) d x & = ₀^3 (x^2-x+1 ) d x & = [ x^3 3 - x^2 2 +x ]₀^3= 15 2 sq. units aligned

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