5.5 The Substitution Rule/7: Difference between revisions
No edit summary Tag: Manual revert |
No edit summary |
||
| Line 17: | Line 17: | ||
\int\{xsin{(x^{2})}dx &=\frac{1}{2}\int\sin{(u)}du \\[2ex] | \int\{xsin{(x^{2})}dx &=\frac{1}{2}\int\sin{(u)}du \\[2ex] | ||
&= -\frac{1}{2}cos{(u)}+C | &= -\frac{1}{2}cos{(u)}+C = -\frac{1}{2}cos{(x^{2})}+C | ||
\end{align} | \end{align} | ||
</math> | </math> | ||
Revision as of 17:05, 7 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\{xsin{(x^{2})}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^{2} \\[2ex] du &=2xdx \\[2ex] \frac{1}{2}du &=dx \\[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\{xsin{(x^{2})}dx &=\frac{1}{2}\int\sin{(u)}du \\[2ex] &= -\frac{1}{2}cos{(u)}+C = -\frac{1}{2}cos{(x^{2})}+C \end{align} }