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MHT CET20243 May 2024Evening ShiftMathematicsArea Under CurvesActual

The area of the region, bounded by the parabola y=x^2+2 and the lines y=x, x=0 and x=3 , is

Options

  1. A9 2 sq. units
  2. B11 2 sq. units
  3. C15 2 sq. units
  4. D21 2 sq. units

Correct answer

D. 21 2 sq. units

Step-by-step solution

aligned Required area & = ₀^3 (x^2+2- x ) d x & = [ x^3 3 +2 x- x^2 2 ]₀^3 & =9+6- 9 2 -0 & = 21 2 sq. unit aligned

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