Question Number 29076 by abdo imad last updated on 04/Feb/18
$${let}\:{give}\:{f}\left({x}\right)=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{arctan}\left({x}\left(\mathrm{1}+{t}^{\mathrm{2}} \right)\right)}{\mathrm{1}+{t}^{\mathrm{2}} }{dt}\:\:{find}\:{asimple} \\ $$$${form}\:{of}\:{f}\left({x}\right)\:{without}\:{integral}. \\ $$
Commented by abdo imad last updated on 04/Feb/18
$${find}\:{a}\:{simple}\:{form}\:{of}\:{f}^{'} \left({x}\right)\:. \\ $$