define work $W=\int_C \mathbf{F}\cdot d\mathbf{r}$

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We define work as follows : $$W=\int_C \mathbf{F}\cdot d\mathbf{r}$$ and we know that $\mathbf{F}(\mathbf{r}(t),\mathbf{v}(t),t)$ now can we write ? : $$W=\int_C \mathbf{F}\cdot d\mathbf{r}\overset{?}{=}\int_C \mathbf{F}(t)\cdot \mathbf{v}(t)\, dt $$