If $\quad \int\left(e^{2 x}+2 e^x-e^{-x}-1\right) e^{\left(e^x+e^{-x}\right)} d x=g(x) e^{\left(e^x+e^{-x}\right)}+c$ where c is a constant of integration, then $\mathrm{g}(0)$ is equal to:
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