5.5 The Substitution Rule/33: Difference between revisions
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&= \int {\sqrt{u}} \csc^2{(x)} \frac{du}{-csc{(x)}} | &= \int {\sqrt{u}} \csc^2{(x)} \frac{du}{-csc{(x)}} | ||
&= - \int{(\sqrt{u})}du \\[2ex] | &= - \int{(\sqrt{u})}du \\[2ex] | ||
&= \int u^1 | &= \int u^{\frac{1}{2}} | ||
\end{align} | \end{align} | ||
</math> | </math> | ||
Revision as of 16:19, 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 (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{aligned}&=\int {\sqrt {u}}\csc ^{2}{(x)}{\frac {du}{-csc{(x)}}}&=-\int {({\sqrt {u}})}du\\[2ex]&=\int u^{\frac {1}{2}}\end{aligned}}}