5.5 The Substitution Rule/41: Difference between revisions
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\int \frac{1}{\sqrt{1-x^{2}u | \int \frac{1}{\sqrt{1-x^{2}}u} = \int \frac{1}{u} du = \ln |u| +c = \ln |\arcsin {x}| + c | ||
</math> | </math> | ||
Revision as of 09:09, 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}}u} = \int \frac{1}{u} du = \ln |u| +c = \ln |\arcsin {x}| + c }
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{aligned}u&=\arcsin {x}\\[2ex]du&={\frac {1}{\sqrt {1-x^{2}}}}dx\\[2ex]\end{aligned}}}