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MHT CET20227 Aug 2022Evening ShiftMathematicsArea Under CurvesActual

Area of the region bounded by the curve y=x^2+2 and the lines y=x, x=0 and x=3 is

Options

  1. A19 2 sq units
  2. B21 2 sq units
  3. C15 s q units
  4. D9 2 sq units

Correct answer

B. 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 & = 27 3 +6- 9 2 = 21 2 aligned

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