Find the integral $\iint_R f(x,y)dA$ where R is the region bound by the curves $2y=1+x; x-y=1;y=x^2-1$ and $f(x,y)=2x$

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I'm having troubles finding the integration limits primarily because when I plot the curves I get this: enter image description here

And I'm not sure what exactly is the region to integrate, enter image description here

is it R1 or R2? Or maybe both?