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\begin{array}{align}{c}
\bar P_{out} &= \delta \lambda \int_0^1 {\frac{1}{{(n!)^{2K} }}(\psi \phi )^{nK} \delta ^{2nK} t^{2nK} dt} \\
&= \frac{{\delta ^{2nK + 1} \lambda \prod\limits_{k = 1}^K {(\psi _k \phi _k )^n } }}{{(n!)^{2K} (2nK + 1)}} \\
&= \frac{{\lambda \prod\limits_{k = 1}^K {(\psi _k \phi _k )^n } }}{{(n!)^{2K} (2nK + 1)}}\left( {\frac{{2^{2R} - 1}}{\gamma }} \right)^{2nK + 1} \\
\end{array}{align}
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