Question Number 33888 by math khazana by abdo last updated on 26/Apr/18
$${developp}\:{at}\:{integr}\:{serie}\:{f}\left({x}\right)=\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\:\:\frac{{dt}}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} {sin}^{\mathrm{2}} {t}}}\:. \\ $$$${with}\:\mid{x}\mid<\mathrm{1}\:. \\ $$