5.5 The Substitution Rule/41: Difference between revisions

Revision as of 09:05, 7 September 2022

$\int {\frac {1}{\sqrt {1-x^{2}}}}=\int {\frac {1}{u}}du=\ln |u|+c=\ln |\arcsin {x}|+c$

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 <math>
-\int \frac{1}{\sqrt{1-x^{2}}} = \int \frac{1}{u} du = \ln u +c = \ln |\arcsin {x}| + c
+\int \frac{1}{\sqrt{1-x^{2}}} = \int \frac{1}{u} du = \ln |u| +c = \ln |\arcsin {x}| + c
 </math>