5.5 The Substitution Rule/3: Difference between revisions
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<math> | <math> | ||
\frac{1}{3} \int du (u^{\frac{1}{2}} | \begin{align} | ||
\frac{1}{3} \int du (u^{\frac{1}{2}}) \\[2ex] | |||
=\frac{1}{2} u^\frac{3}{2} | |||
\end{align} | |||
</math> | |||
<math> | |||
\frac{1}{2}(x^3+1)^\frac{3}{2} +C | |||
</math> | |||
Latest revision as of 03:48, 23 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 x^2 \sqrt{x^3+1} 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 &=x^3+1 \\[2ex] du &=3x^2dx \end{align} }
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \int {\frac {1}{3}}du{\sqrt {u}}}
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} \frac{1}{3} \int du (u^{\frac{1}{2}}) \\[2ex] =\frac{1}{2} u^\frac{3}{2} \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 \frac{1}{2}(x^3+1)^\frac{3}{2} +C }