Hence determine the exact value of $$\[ \int_{0}^{\frac{1}{3} \ln 2} \tanh ^{5} 3 x \mathrm{~d} x \]$$ giving your answer in the form $$\(a \ln b+c\)$$ where $$\(a, b\)$$ and $$\(c\)$$ are rational numbers to be found. (4)

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