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let-f-x-0-arctan-xt-2-1-t-4-dt-1-calculate-f-x-2-find-a-simple-form-of-f-x-

Question Number 36420 by abdo.msup.com last updated on 01/Jun/18 $${let}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\infty} \frac{\:{arctan}\left({xt}^{\mathrm{2}} \right)}{\mathrm{1}+{t}^{\mathrm{4}} }{dt} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}^{'} \left({x}\right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{a}\:{simple}\:{form}\:{of}\:{f}\left({x}\right). \\ $$ Terms of Service Privacy…