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Could somebody give me a numerical value for this integral?

$$I = \int_0^1 \int_0^1 \frac{\arcsin\left(\sqrt{1-s}\sqrt{y}\right)}{\sqrt{1-y} \cdot (sy-y+1)}\,ds\,dy $$

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  • $\begingroup$ Here resolved by Seraphim mathematica.gr/forum/viewtopic.php?f=9&t=59475 $\endgroup$ – whitexlotus Aug 20 '17 at 19:45
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$$I\approx4.49076009892257799033708885767243640685411695804791115741588093621176851...$$

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  • $\begingroup$ Thank you Vladimir! Maybe someone could give us a closed form, this is my next question. $\endgroup$ – user153012 Sep 19 '14 at 6:17

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