I like integrals 4

Calculus Level 3

\[ \displaystyle\int _{ 0 }^{ 1 }{ \dfrac { \sinh { x } }{ { e }^{ x } } dx } =\frac { 1 }{ A{ e }^{ B } } +\frac { 1 }{ C } \]

The equation above holds true for integer constants \(A,B\) and \(C\). Find \(A+B+C\).

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