Evaluate integral of e^(-x) with respect to x

Evaluate integral of e^(-x) with respect to x
Let . Then , so . Rewrite using and .
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Let . Find .
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Differentiate .
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Rewrite the problem using and .
Since is constant with respect to , move out of the integral.
The integral of with respect to is .
Simplify.
Replace all occurrences of with .
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