DLMF:4.26.E21 (Q1837): Difference between revisions

Revision as of 18:43, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:4.26.E21	No description defined

{\displaystyle{\displaystyle\int x\operatorname{arccos}x\mathrm{d}x=\left(% \frac{x^{2}}{2}-\frac{1}{4}\right)\operatorname{arccos}x-\frac{x}{4}(1-x^{2})^% {1/2},}}

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DLMF:4.26.E21

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{\displaystyle{\displaystyle-1<x<1}}

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{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1atdec

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{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3atdec

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{\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}

C4.S23.SS2.p1.m6aadec

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@@ Property / Symbols used @@
+Q11208
@@ Property / Symbols used: Q11208 / rank @@
+Normal rank
@@ Property / Symbols used: Q11208 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}$ 
\acos@@{\NVar{z}}
@@ Property / Symbols used: Q11208 / qualifier @@
+xml-id: C4.S23.SS2.p1.m6aadec