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find-I-x-0-1-ln-1-xt-2-t-2-dt-




Question Number 34254 by math khazana by abdo last updated on 03/May/18
find I(x)= ∫_0 ^1  ((ln(1+xt^2 ))/t^2 )dt  .
$${find}\:{I}\left({x}\right)=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{ln}\left(\mathrm{1}+{xt}^{\mathrm{2}} \right)}{{t}^{\mathrm{2}} }{dt}\:\:. \\ $$

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