Use the Fundamental Theorem of Line Integrals to evaluate, where $C$: a smooth curve from $(0,0)$ to $(10,5)$.
$$\int_C(6y\,\mathbf{i} + 6x\,\mathbf{j})\cdot d\mathbf{r}$$
I am more familiar with integrating ds rather than dr. If anyone could help me get around this that would be great.