5.5 The Substitution Rule/7: Difference between revisions
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\begin{align} | \begin{align} | ||
\int\ | \int\xsin{(x^{2})}dx &=\frac{1}{2}\int\sin{(u)}du \\[2ex] | ||
&= -\frac{1}{2}cos{(u)}+C \\[2ex] | &= -\frac{1}{2}cos{(u)}+C \\[2ex] | ||
Revision as of 19:56, 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 \\[2ex] &= -\frac{1}{2}cos{(x^{2})}+C \end{align} }