Equation 11.23.100BC0A4E1D2A4

\begin{equation} \begin{split} \frac{\mathrm{d}}{\mathrm{d}t}\int _ X\rho _ t^ p\nu ={}& \frac{np}{(p-1)M}\int _ X\rho _ t^{p-1}\mathrm{dd}^{\mathrm{c}}(\omega _{u_ t}^{n-1})\\ & -\frac{np(p-1)}M\int _ X\rho _ t^{p-3} \mathrm{d}\rho _ t\wedge \mathrm d^{\mathrm c}\rho _ t\wedge \omega _{u_ t}^{n-1}. \end{split} \end{equation}