Vector Line Integral For Biot Savart Law

Question

How would one go about computing the vector line integral presented in the Biot-Savart law: $$\vec{B}=\int_c\frac{\mu_0I}{4\pi} \frac{d\vec{l}\times\hat{r}}{r^2}$$ I know how to compute vector line integrals: $\int_c\vec{F}\cdot d\vec{s} = \int_a^b\vec{F}(\vec{r}(t))\cdot (\vec{r}(t))'dt$, but I have no idea where to start with the above integral. Any help would be greatly appreciated.