5.5 The Substitution Rule/21: Difference between revisions

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<math>
<math>
\begin{align}
\begin{align}
\int \frac{\cos{(\sqrt{t})}}{\sqrt{t}} dt \\[2ex]


2\int \cos {u} du &= 2 \sin{u}+c \\[2ex]
2\int \cos {u} du &= 2 \sin{u}+c \\[2ex]

Revision as of 15:41, 7 September 2022

Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \int {\frac {\cos {({\sqrt {t}})}}{\sqrt {t}}}dt}


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 &= \sqrt{u} \\[2ex] du &= \frac{1}{2}\ \frac{1}{\sqrt{t}} dx \\[2ex] 2du &= \frac{1}{\sqrt{t}} dx \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 \frac{\cos{(\sqrt{t})}}{\sqrt{t}} dt \\[2ex] 2\int \cos {u} du &= 2 \sin{u}+c \\[2ex] &= 2 \sin(\sqrt{u}) + c \\[2ex] \end{align} }