5.5 The Substitution Rule/39: Difference between revisions

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


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


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)\,</math>


<math>\int u^{2}\,du</math>


& \int\sec^{3}(x)\tan(x)\, &
<math>=\frac{1}{3}u^{3}\,+\,c</math>
 
&= \int u^{2}\,du &
 
&=
 
\end{align}
</math>

Revision as of 19:55, 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 \int\sec^{3}(x)\tan(x)\,}


u=\sec(x)</math>

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


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

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 u^{2}\,du}

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 =\frac{1}{3}u^{3}\,+\,c}

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