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x-ln-1-x-dx-




Question Number 66048 by aliesam last updated on 08/Aug/19
∫(x/( (√(ln(1/x))))) dx
xln(1/x)dx
Commented by Prithwish sen last updated on 08/Aug/19
∫(x/( (√(−lnx))))dx   put−lnx = u^2  ⇒dx=−2ue^(−u^2 )   = −2∫e^(−2u^2 ) du   and it is a Gaussian integral.  And it has no closed form.   please check.
xlnxdxputlnx=u2dx=2ueu2=2e2u2duanditisaGaussianintegral.Andithasnoclosedform.pleasecheck.

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