# E and pi?

Calculus Level 4

$\large \int _{ 0 }^{ \infty }{ \dfrac { x-1 }{ { e }^{ x^{ 2 }-1 } } \, dx } =\dfrac { 1 }{ A } (Be-Ce\sqrt { D\pi } )$

If the equation above holds true for positive integers $A,B,C$ and $D$, find $A+B+C+D$.

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