5.5 The Substitution Rule/1: Difference between revisions

From Mr. V Wiki Math
Jump to navigation Jump to search
No edit summary
No edit summary
Line 10: Line 10:
& \int{e^{-x}} dx \\ [2ex]  
& \int{e^{-x}} dx \\ [2ex]  


\end{align}
</math>


&= -\int{e^{u}} du \\ [2ex]
<math>


&= -e^{u} \\[2ex]
-\int{e^{u}} du = -e^{u} = -e^{-x}+C


&= -e^{-x}+C \\ [2ex]
\end{align}
</math>
</math>

Revision as of 19:53, 1 September 2022

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align} & \int{e^{-x}} dx, \quad u=-x \\[2ex] & u=-x \\ [2ex] & du=-dx\\ [2ex] & \int{e^{-x}} dx \\ [2ex] \end{align} }

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle -\int{e^{u}} du = -e^{u} = -e^{-x}+C }