5.5 The Substitution Rule/1: Difference between revisions
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& \int{e^{-x}} dx \\[2ex] | & \int{e^{-x}} dx \\[2ex] | ||
& -\int{e{u}} du \\ [2ex] | |||
& -e^{u} du \\ [2ex] | |||
& -e^{-x}+C | |||
\end{align} | \end{align} | ||
</math> | </math> | ||
Revision as of 19:26, 1 September 2022
![{\displaystyle {\begin{aligned}&\int {e^{-x}}dx,u=-x\\[2ex]&\int {e^{-x}}dx\\[2ex]&-\int {e{u}}du\\[2ex]&-e^{u}du\\[2ex]&-e^{-x}+C\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/f42c0ae8109f832b28f5a3db4aa53a6ffd4c6e8f)