Find the area bounded by the curve `x={{:(-2-y",",ylt-1),(y^(3)",",-1leyle1),(2-y",",ygt1):}` and x=0 is

Explanation

Required are is same as area bounded by curve
`y={{:(-2-x",",clt-1),(x^(3)",",-1lexle1 and y=0),(2-x",",xgt1):}`

`"Required area "=2overset(1)underset(0)intx^(3)dx+2overset(2)underset(1)int(2-x)dx`
`=2[(x^(4))/(4)]_(0)^(1)+2[2x-(x^(2))/(2)]_(1)^(2)`
`=2[(1)/(4)]+2[4-(4)/(2)-2+(1)/(2)]`
`=(3)/(2)`