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find-f-t-0-1-ln-1-tx-2-dxfor-t-gt-1-




Question Number 31063 by abdo imad last updated on 02/Mar/18
find f(t)= ∫_0 ^1  ln(1+tx^2 )dxfor  t>−1
$${find}\:{f}\left({t}\right)=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:{ln}\left(\mathrm{1}+{tx}^{\mathrm{2}} \right){dxfor}\:\:{t}>−\mathrm{1} \\ $$

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