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Manipal MET2016MathematicsArea Under Curves

Area bounded by the curves y=x^2 and y=2-x^2 is

Options

  1. A8 3 sq units
  2. B3 8 s q unit
  3. C3 2 sq units
  4. DNone of these

Correct answer

A. 8 3 sq units

Step-by-step solution

Required area =2 Area of curve O A B O aligned & =2 ₀^1 [ (2-x^2 )- (x^2 ) ] d x=2 ₀^1 (2-2 x^2 ) d x & =4 [x- x^3 3 ]₀^1= 8 3 sq units aligned

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