5.5 The Substitution Rule/33: Difference between revisions
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&= - \int{(\sqrt{u})}du \\[2ex] | &= - \int{(\sqrt{u})}du \\[2ex] | ||
&= \int (u^{\frac{1}{2}})du | &= \int (u^{\frac{1}{2}})du | ||
&= -\frac{2}{3} | &= -\frac{2}{3} \u + c | ||
\end{align} | \end{align} | ||
</math> | </math> | ||
Revision as of 16:21, 29 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 {\sqrt{\cot(x)}} \csc^2{(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 \begin{align} u &= \cot{(x)} \\[2ex] du &= -csc^2{(x)}dx \\[2ex] dx &= \frac{du}{-csc^2{(x)}} \\[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 \begin{align} &= \int {\sqrt{u}} \csc^2{(x)} \frac{du}{-csc{(x)}} &= - \int{(\sqrt{u})}du \\[2ex] &= \int (u^{\frac{1}{2}})du &= -\frac{2}{3} \u + c \end{align} }