\[\int zw^{\prime}_{1}w^{\prime}_{2}\,\mathrm{d}z=\tfrac{3}{10}(-w_{1}w_{2}+zw_{%
1}w^{\prime}_{2}+zw^{\prime}_{1}w_{2})+\tfrac{1}{5}(z^{2}w^{\prime}_{1}w^{%
\prime}_{2}-z^{3}w_{1}w_{2}).\]