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let-f-x-0-1-ln-1-xt-2-1-t-2-dt-1-find-a-xplicit-form-of-f-x-2-developp-f-at-integr-serie-3-find-the-value-of-0-1-ln-1-t-2-1-t-2-dt-4-find-the-value-of-0-1-ln-1-2t-2

Question Number 48497 by maxmathsup by imad last updated on 24/Nov/18 letf(x)=01ln(1+xt2)1+t2dt1)findaxplicitformoff(x)2)developpfatintegrserie$$\left.\mathrm{3}\right){find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{ln}\left(\mathrm{1}+{t}^{\mathrm{2}} \right)}{\mathrm{1}+{t}^{\mathrm{2}}…