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Question Number 28828 by abdo imad last updated on 30/Jan/18

find f(x)=∫_0 ^1   ln(1+xt^2 )dt with ∣x∣<1 .

$${find}\:{f}\left({x}\right)=\int_{\mathrm{0}} ^{\mathrm{1}} \:\:{ln}\left(\mathrm{1}+{xt}^{\mathrm{2}} \right){dt}\:{with}\:\mid{x}\mid<\mathrm{1}\:. \\ $$

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