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Calculus Level 1

\[ \large \displaystyle\int _{ 0 }^{ 1 }{ { e }^{ -x }\, dx } \]

If the integral above is in the form of \[ A - \dfrac Be, \]

where \(A\) and \(B\) are positive integers, find \(A+B\).

Clarification:\(e\) denotes Euler's constant

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