$\int_0^1\frac{\log(\log(\frac{1}{x}))}{1-x+x^2}dx=\frac{2\pi}{\sqrt{3}}\log(\frac{\sqrt[6]{32\pi^5}}{\Gamma(\frac{1}{6})})$
5034
A closed form of $\int_0^1\frac{\ln\ln\left({1}/{x}\right)}{x^2-x+1}\mathrm dx$
63167
Evaluate integral $\int_0^\frac{\pi}{2} \ln\left(\frac{1+a\cos x}{1-a\cos x}\right) \frac{\mathrm{d} x}{\cos x}$ for $\left|a\right|<1$
125523
How to find $\int_{0}^{\pi/2} \log ({1+\cos x}) dx$ using real-variable methods?
152860
How to evalute $\int_{0}^{1}\frac{x\log x}{\log(1-x)}dx$
91955
Integral of $\int\frac{1}{\log x}dx$
118324
Other challenging logarithmic integral $\int_0^1 \frac{\log^2(x)\log(1-x)\log(1+x)}{x}dx$
53518
Integrating : $\int_0^1 {\frac {x^a-x^b} {\ln x} dx}$
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
102399
Computing $ \int_0^\infty \frac{\log x}{\exp x} \ dx $
146349
$\int_0^\infty \frac{\ln\left(1+x-\sqrt{2x}\right)}{1+x^2}\,dx$
59352
Computing: $\int_0^1 \sqrt[3]{x\log{\frac{1}x}} \, \mathrm dx$
91306
Integration of $\frac{1}{\log(x)}$
64800
Evaluate $\int_0^1 \log \left( \frac{x^2+\sqrt{3}x+1}{x^2-\sqrt{3}x+1} \right) \frac{dx}{x} $
17852
$\int \frac{dx}{x\log(x)}$
104512
Why is $\frac{1}{2\pi i}\int_{\gamma}\frac{f'(z)}{f(z)}dz$ an integer?
17333
Definite Integral $\int_2^4\frac{\sqrt{\log(9-x)}}{\sqrt{\log(9-x)}+\sqrt{\log(3+x)}}dx$
17996
Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$