Question Number 187602 by horsebrand11 last updated on 19/Feb/23
$$\:\:\:\underset{\mathrm{1}/\mathrm{4}} {\overset{\mathrm{1}/\mathrm{2}} {\int}}\:\frac{\mathrm{sin}^{−\mathrm{1}} \left(\sqrt{{x}}\right)−\mathrm{cos}^{−\mathrm{1}} \left(\sqrt{{x}}\right)}{\mathrm{sin}^{−\mathrm{1}} \left(\sqrt{{x}}\right)+\mathrm{cos}^{−\mathrm{1}} \left(\sqrt{{x}}\right)}\:{dx}=? \\ $$
Answered by integralmagic last updated on 19/Feb/23
$${sin}^{−\mathrm{1}} {x}+{cos}^{−\mathrm{1}} {x}={pi}/\mathrm{2} \\ $$$$.=.=. \\ $$