If f(x) = [x^2, ( x 2 ), (x - 2 )^2 ] , the area bounded by the curve y = f(x) , x -axis, x = 0 and x = 2 is given by (Note: x₁ is the point of intersection of the curves x^2 and ( x 2 ) ; x₂ is the point of intersection of the curves ( x 2 ) and (x - 2 )^2 )

Options

1. A₀^ x₁ ( x 2 ) dx + _ x₁ ^ x^2 dx + _ ^ x₂ (x - 2 )^2 dx + _ x₂ ^ 2 ( x 2 ) dx
2. B₀^ x₁ x^2 dx + _ x₁ ^ x₂ ( x 2 ) dx + _ x₂ ^ 2 (x - 2 )^2 dx , where x₁ (0, 3 ) and x₂ ( 5 3 , 2 )
3. C₀^ x₁ x^2 dx + _ x₁ ^ x₂ ( x 2 ) dx + _ x₂ ^ 2 (x - 2 )^2 dx , where x₁ ( 3 , 2 ) and x₂ ( 3 2 , 2 )
4. D₀^ x₁ x^2 dx + _ x₁ ^ x₂ ( x 2 ) dx + _ x₂ ^ 2 (x - 2 )^2 dx , where x₁ ( 2 , 2 3 ) and x₂ ( , 2 )