Question Number 123639 by benjo_mathlover last updated on 26/Nov/20
$$\:\:\:\underset{\mathrm{0}} {\overset{\infty} {\int}}\:\sqrt{\mathrm{tan}^{−\mathrm{1}} \left({x}\right)}\:{dx}\:? \\ $$
Answered by MJS_new last updated on 27/Nov/20
$${x}\rightarrow+\infty\:\Rightarrow\:\mathrm{arctan}\:{x}\:\rightarrow\:\frac{\pi}{\mathrm{2}}\:\Rightarrow \\ $$$$\mathrm{integral}\:\mathrm{doesn}'\mathrm{t}\:\mathrm{converge} \\ $$