Problems

01

Vector line integral

Compute ${\int }_{\mathcal{C}}\mathbf{F}\cdot d\mathbf{s}$, where $\mathbf{F}=(e^z,e^y,x+y)$ and $\mathcal{C}$ is the triangle with vertices $(1,0,0)$, $(0,1,0)$, $(0,0,1)$ (traversed in that order).