Vector fields can also be integrated. This is easiest in rectangular coordinates, since the rectangular basis vectors are constants, and hence pull through the integral. For instance, if \begin{equation} \FF = F_x \,\xhat + F_y \,\yhat \end{equation} then \begin{equation} \int \FF \,dx = \xhat \int F_x \,dx + \yhat \int F_y \,dx \end{equation}