Let the functions $f: \mathrm{R} \rightarrow \mathrm{R}$ and $\mathrm{g}: \mathrm{R} \rightarrow \mathrm{R}$ be defined by $ f(x)=e^{x-1}-e^{-|x-1|} \text { and } g(x)=\frac{1}{2}\left(e^{x-1}+e^{1-x}\right) $ Then the area of the region in the first quadrant bounded by the curves $y=f(x), y=g(x)$ and $x=0$ is