DLMF:4.26.E21 (Q1837)

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DLMF:4.26.E21
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    Defining formula
    ∫ x ⁢ arccos ⁡ x ⁢ d x = ( x 2 2 - 1 4 ) ⁢ arccos ⁡ x - x 4 ⁢ ( 1 - x 2 ) 1 / 2 , 𝑥 𝑥 𝑥 superscript 𝑥 2 2 1 4 𝑥 𝑥 4 superscript 1 superscript 𝑥 2 1 2 {\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 id
    DLMF:4.26.E21
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        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1837&oldid=7837"