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Category: Integration

0-1-ln-x-ln-1-x-dx-

Question Number 97235 by bobhans last updated on 07/Jun/20 10ln(x)ln(1x)dx? Answered by abdomathmax last updated on 07/Jun/20 $$\mathrm{I}\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:\mathrm{lnxln}\left(\mathrm{1}−\mathrm{x}\right)\mathrm{dx}\:\:\mathrm{we}\:\mathrm{have}\:\mathrm{for}\:\mid\mathrm{x}\mid<\mathrm{1} \

Question-97153

Question Number 97153 by eidmarie last updated on 06/Jun/20 Answered by MJS last updated on 06/Jun/20 x3x22x13(x+1)(x2x+3)dx==dx+135dxx+1158x41x2x+3dx=$$=−{x}+\frac{\mathrm{13}}{\mathrm{5}}\mathrm{ln}\:\mid{x}+\mathrm{1}\mid\:−\frac{\mathrm{4}}{\mathrm{5}}\int\frac{\mathrm{2}{x}−\mathrm{1}}{{x}^{\mathrm{2}}…