Work is measured in Newton-meters, aka, Joules. \[ \int_C \mathbf{F}(r) \cdot d\mathbf{r} = \int_a^{b} \mathbf{F}(\mathbf{r}(t))\cdot \mathbf{r}'(t) dt\]
Green: \[ \int_C \nabla f \cdot d\mathbf{r} = f(\mathbf{r}(b)) - f(\mathbf{r}(a)) .\]
Work is measured in Newton-meters, aka, Joules. \[ \int_C \mathbf{F}(r) \cdot d\mathbf{r} = \int_a^{b} \mathbf{F}(\mathbf{r}(t))\cdot \mathbf{r}'(t) dt\]
Green: \[ \int_C \nabla f \cdot d\mathbf{r} = f(\mathbf{r}(b)) - f(\mathbf{r}(a)) .\]