\[ \begin{eqnarray} { U }_{ n } &= & \int _{ 0 }^{ \frac { \pi }{ 2 } }{ \frac { 1-\cos\ (2nx) }{ 1-\cos\ (2x) } } \ dx \\ \triangle &= & \left| \begin{matrix} { U }_{ 1 } & { U }_{ 2 } & { U }_{ 3 } \\ { U }_{ 4 } & { U }_{ 5 } & { U }_{ 6 } \\ { U }_{ 7 } & { U }_{ 8 } & { U }_{ 9 } \end{matrix} \right| \\ \left\lfloor \triangle \right\rfloor &= & \ ? \end{eqnarray} \]

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