Use a CAS to calculate $\int_{\mathcal{C}} \left< e^{x-y},e^{x+y} \right>\cdot \,d\mathbf{\,s}$ to four decimal places,
where $\mathcal{C}$ is the curve $y=\sin x$ for $0\le x \le \frac{\pi}{4}$, oriented from left to right.

Answer: