5.5 The Substitution Rule/41: Difference between revisions
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<math> | <math> | ||
\begin{align} | \begin{align} | ||
\int \frac{1}{u} du = \ln |u| +c = \ln |\arcsin {x}| + c | \int \frac{1}{u} du | ||
&= \ln |u| +c [2ex] | |||
&= \ln |\arcsin {x}| + c [2ex] | |||
\end{align} | |||
</math> | </math> | ||
Revision as of 15:48, 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 \frac{1}{\sqrt{1-x^{2}} \arcsin {x}} = \int \frac{1}{u} du = \ln |u| +c = \ln |\arcsin {x}| + c }
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 &= \arcsin {x} \\[2ex] du &= \frac{1}{\sqrt{1-x^2}} 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 \frac{1}{u} du &= \ln |u| +c [2ex] &= \ln |\arcsin {x}| + c [2ex] \end{align} }