Question Number 51988 by maxmathsup by imad last updated on 01/Jan/19
$${let}\:{f}\left({a}\right)\:=\int\:\:\sqrt{{a}^{\mathrm{2}} −{x}^{\mathrm{4}} }{dx} \\ $$$$\left.\mathrm{1}\right)\:{determine}\:{a}\:{explicit}\:{form}\:{of}\:{f}\left({a}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:\int\:\:\:\:\frac{{dx}}{\:\sqrt{{a}^{\mathrm{2}} −{x}^{\mathrm{4}} }} \\ $$$${a}>\mathrm{0} \\ $$