Who's up to the challenge? 20

Calculus Level 5

\[ \large \int _{ 0 }^{ \infty } { x }^{ 3 }{ e }^{ -3x }\sin { x } \, dx \]

If the integral above is the form of \( \dfrac ab\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).


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