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MHT CET20228 Aug 2022Evening ShiftMathematicsArea Under CurvesActual

There are (in square units) of the region bounded by the parabola y=x^2+2 and the lines y=x+1, x=0 and x=3 is

Options

  1. A15 4
  2. B15 2
  3. C21 2
  4. D17 4

Correct answer

B. 15 2

Step-by-step solution

Required area aligned & = ₀^3 (x^2+2 )-(x+1) d x & = [ x^3 3 +2 x- x^2 2 -x ]₀^3 & = (9+6- 9 2 -3 )-0= 15 2 aligned

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