The area (in sq. units) bounded by the curves y=(x+1)^2, y=(x-1)^2 and the line y= 1 4 is

Step-by-step solution

aligned Required area & =2 ₀^ 1 2 [(x-1)^2- 1 4 ] d x & =2 [ (x-1)^3 3 ]₀^ 1 2 - 1 2 [x]₀^ 1 2 & = 2 3 (- 1 8 +1 )- 1 2 ( 1 2 -0 ) & = 1 3 sq. units aligned