Question Number 75888 by abdomathmax last updated on 19/Dec/19
$${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{\mathrm{1}+{x}^{\mathrm{4}} }{dx} \\ $$
Commented by 21042004 last updated on 20/Dec/19
$$\mathrm{this}\:\mathrm{equation}\:\mathrm{is}\:\mathrm{so}\:\mathrm{long} \\ $$$$\frac{\sqrt{\mathrm{2}}+\mathrm{2}\sqrt[{\mathrm{4}}]{−\mathrm{1}}\mathrm{F}\left(\mathrm{1}−\frac{{i}}{\mathrm{arcsinh}\left(\sqrt[{\mathrm{4}}]{−\mathrm{1}}\right)}\right)+\mathrm{2}\sqrt[{\mathrm{4}}]{−\mathrm{1}}{F}\left({i}\centerdot\mathrm{arcsinh}^{−\mathrm{1}} \left(\mathrm{0}\right)\mid−\mathrm{1}\right)}{\mathrm{3}} \\ $$