The figure shows $y = e^x$ and $y = e^{-x}$ from $x = 0$ to the dashed line $x = 1$. The curves start together at $(0, 1)$. What is the area of the shaded region, to two decimal places?

Fig. 1: The curves y = e to the power x, in blue, and y = e to the power minus x, in orange, from x = 0 to x = 1. They start together at (0, 1). A dashed red vertical line marks x = 1. The region between the curves, up to that line, is shaded.