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find-the-value-of-0-1-ln-t-1-t-1-t-2-dt-




Question Number 32338 by abdo imad last updated on 23/Mar/18
find the value of  ∫_0 ^1     ((ln(t))/((1+t)(√(1−t^2 )))) dt.
$${find}\:{the}\:{value}\:{of}\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\:\frac{{ln}\left({t}\right)}{\left(\mathrm{1}+{t}\right)\sqrt{\mathrm{1}−{t}^{\mathrm{2}} }}\:{dt}. \\ $$

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