I am given the integral
\begin{gather} \int_V \hat{e}_z \times \vec{u} dV \end{gather}
where $\hat{e}_z$ is the unit vector in the $z$ direction and $\vec{u}$ is a vector field. Can I pull $\hat{e}_z \times$ out of the integral and rewrite it as
\begin{gather} \hat{e}_z \times \int_V \vec{u} dV \end{gather}