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Thread: Integral of e^(-x)

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    Integral of e^(-x)

    I was wondering what is the Integral of e^(-x)?
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  2. #2
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    Quote Originally Posted by chevy900ss View Post
    I was wondering what is the Integral of e^(-x)?
    $\displaystyle -e^{-x} + C$
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    Quote Originally Posted by chevy900ss View Post
    I was wondering what is the Integral of e^(-x)?
    Try to make this subtitution $\displaystyle -x=u$

    $\displaystyle \int {{e^{ - x}}dx} = \left\{ \begin{gathered}
    - x = u, \hfill \\
    dx = - du \hfill \\
    \end{gathered} \right\} = - \int {{e^u}du} .$
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    Just in case a picture helps...



    ... where (as usual) ...



    represents the chain rule for differentiation - straight continuous line differentiating down (integrating up) with respect to x, the straight dashed line similarly but with respect to the dashed balloon expression.

    Don't integrate - balloontegrate!

    Balloon Calculus Forum
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  5. #5
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    Ok thanks for the help.
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