Let f(x) be a continuous function fiven by $f\left(x\right)=\{\begin{array}{cc}2x\text{,}& \left|x\right|\le 1\\ x^2+ax+b\text{,}& \left|x\right|>1\end{array},\text{then }$
The area of the region in the third quadrant bounded by the curves $x=-2y^2\text{and}y=f\left(x\right)$ lying on the left of the line $8x+1=0$ is

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