The area of the region, enclosed by the circle  x2+y2=2 which is not common to the region bounded by the parabola y2=x and the straight line y = x, is:

The requireed area is  the area of the region bounded by the circle minus the area of the region bounded by y2=x and the line y=xRequired area =Total area – enclosed area =  2π−∫01x−xdx                                                                    =2π−2x3/23−x2201                                                                    =2π−23−12 =2π−16 =12π−16