How do you find the antiderivative of $e^-x$ ?

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How do you find the antiderivative of $e^-x$ ?

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Answer 1 · 2016-11-16T05:55:44

$= - e^(-x) + C$

Explanation:

Let
$" "$
$u(x) = e^(-x)$
$" "$
$du(x) = - e^(-x)dx$
$" "$
$rArr - du(x) = e^(-x)dx$
$" "$
$" "$
$inte^(-x)dx$
$" "$
$= int-du(x)$
$" "$
$=-u(x) + C" " C$ is a constant
$" "$
$= - e^(-x) + C$

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How do you find the antiderivative of $e^-x$ ?

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