5.5 The Substitution Rule/39: Difference between revisions

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<math>\int\sec^{3}(x)\tan(x)\, </math>
<math>
\begin(align)


& \int\sec^{3}(x)\tan(x)\, </math>


<math>u=\sec(x)</math>


& u=\sec(x)


<math>du=\sec(x)\tan(x)\,dx</math>


& du=\sec(x)\tan(x)\,dx


<math>\int\sec^{3}(x)\tan(x)\,=


&=\int </math>
& \int\sec^{3}(x)\tan(x)\, &
 
&= \int u^{2}\,du &
 
&=
 
\end(align)
</math>

Revision as of 19:46, 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\sec^{3}(x)\tan(x)\, }


& u=\sec(x)


& du=\sec(x)\tan(x)\,dx


& \int\sec^{3}(x)\tan(x)\, &

&= \int u^{2}\,du &

&=

\end(align) </math>