The value of ${\int }_0^2 \frac{{\mathrm{e}}^{\cos \mathrm{x}}\sin \mathrm{x}}{\left(1+{\cos }^2\mathrm{x}\right)\left({\mathrm{e}}^{\cos \mathrm{x}}+{\mathrm{e}}^{-\cos \mathrm{x}}\right)}\mathrm{dx}$ is equal to 

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