Find the area of the region bounded by the curves `y=x-1` & `(y-1)^2=4(x+1)`.

Explanation

To find area bounded by


`y^{2}=2 x+1`


`x-y-1=0`


On solving the equation (i) and (ii),
`x-y=1`


Or `y^{2}=2(y-1)+1`


Or `y^{2}=2 y-1`


Or `y+1)(y-3)=0`


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