Question Number 184061 by mathlove last updated on 02/Jan/23
$$\int\frac{{sin}^{−\mathrm{1}} \sqrt{{x}}−{cos}^{−\mathrm{1}} \sqrt{{x}}}{{sin}^{−\mathrm{1}} \sqrt{{x}}+{cos}^{−\mathrm{1}} \sqrt{{x}}}{dx}=? \\ $$
Answered by SEKRET last updated on 02/Jan/23
$$\:\:\:\boldsymbol{\mathrm{arcsin}}\left(\sqrt{\boldsymbol{\mathrm{x}}}\:\right)+\:\boldsymbol{\mathrm{arccos}}\left(\sqrt{\boldsymbol{\mathrm{x}}}\:\right)=\:\frac{\boldsymbol{\pi}}{\mathrm{2}} \\ $$
Commented by mathlove last updated on 03/Jan/23
$${pleas}\:{solve}\:{it} \\ $$