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COMEDK2016MathematicsArea Under Curves

The area enclosed between the parabola y=x²-x+2 and the line y=x+2 in sq units =

Options

  1. A4 3
  2. B2 3
  3. C1 3
  4. D8 3

Correct answer

A. 4 3

Step-by-step solution

Required arca aligned &= ₀² [(x+2)- (x²-x+2 ) ] d x &= ₀² [x+2-x²+x-2 ] d x= ₀² (-x²+2 x ) d x &= [- x³ 3 +x² ]₀² &=- 8 3 +4-(0)= -8+12 3 = 4 3 aligned

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