5.5 The Substitution Rule/1: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
| (2 intermediate revisions by the same user not shown) | |||
| Line 6: | Line 6: | ||
& u=-x \\ [2ex] | & u=-x \\ [2ex] | ||
& du=- | & du=-dx\\ [2ex] | ||
\end{align} | \end{align} | ||
</math> | </math> | ||
<math> | <math> | ||
-\int{e^{u}} du = -e^{u} = -e^{-x}+C | \int{e^{-x}} dx = -\int{e^{u}} du = -e^{u} +C = -e^{-x}+C | ||
</math> | </math> | ||
Latest revision as of 19:55, 1 September 2022
![{\displaystyle {\begin{aligned}&\int {e^{-x}}dx,\quad u=-x\\[2ex]&u=-x\\[2ex]&du=-dx\\[2ex]\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/6e256caafce417840d30b15cc0dc0acbf3e56a1e)
