Who's up to the challenge? 20

Calculus Level 5

0x3e3xsinxdx \large \int _{ 0 }^{ \infty } { x }^{ 3 }{ e }^{ -3x }\sin { x } \, dx

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


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