Who's up to the challenge?22

Calculus Level 5

\(\displaystyle\int _{ 0 }^{ \infty }{ \frac { x\sinh { x } }{ { e }^{ { x }^{ 2 } } } dx } =\frac { \sqrt [ A ]{ e } \cdot \sqrt [ B ]{ \pi } }{ C } \\ \)

where \(A,B,C\) are positive integers

Find \(A+B+C\)


this is a part of Who's up to the challenge?

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