The area of the region enclosed between the curves x=y2−1 and x=|y|1−y2 is ------ sq. units

Required area A=2∫01 y1−y2−y2−1dy=−∫01 1−y212(−2y)dy−2∫01 y2dy+2∫01 dy=−231−y23210   −2y3301+2(y)01=23−23+2=2 sq.units