How to evaluate this logarithmic integral?
117751
An integral of a rational function of logarithm and nonlinear arguments
154067
Not sure how to go about solving this integral
152860
How to evalute $\int_{0}^{1}\frac{x\log x}{\log(1-x)}dx$
53830
Evaluate $ \int_{0}^{1} \ln(x)\ln(1-x)\,dx $
93610
What is $\int_0^1 \frac{\log \left(1-x^2\right) \sin ^{-1}(x)^2}{x^2} \, dx$?
118800
Calculating $\int_0^\pi \log(1-2a\cos (x)+a^2)\,dx$
30459
Evaluate $\int^1_0 \log^2(1-x) \log^2(x) \, dx$
125523
How to find $\int_{0}^{\pi/2} \log ({1+\cos x}) dx$ using real-variable methods?
19514
$\int_0^{\infty } \frac{\log (x)}{e^x+1} \, dx = -\frac{1}{2} \log ^2(2)$ How to show?
32672
Integrating :$\int_{0}^{1} \frac{x^{b}-x^{a}}{\log(x)}\sin(\log(x))dx$
98838
How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
137060
Evaluating $\int_0^{\tfrac{\pi}{4}}\ln(\cos x-\sin x)\ln(\cos x) dx - \int_0^{\tfrac{\pi}{4}}\ln(\cos x+\sin x)\ln(\sin x)dx=\frac{G\ln 2}{2}$
66304
How to evaluate these integrals by hand
122361
Evaluate $\int_0^1\left(\frac{1}{\ln x} + \frac{1}{1-x}\right)^2 \mathrm dx$
86857
Integrate $\int_{0}^{2\pi}\log|1-e^{i\theta}| d\theta$
17852
$\int \frac{dx}{x\log(x)}$
32657
What is the value of this Integration?