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\(The\quad value\quad of\quad \underset { x\rightarrow 0 }{ lim } \quad \frac { 1 }{ { x }^{ 3 } } \int _{ 0 }^{ x }{ \frac { t ln (1+t) }{ { { t } }^{ 4 } + 4 } } dt=\frac { a }{ b } .\\ Find\quad the\quad value\quad of\quad a+b.\)

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