Integral $\int_0^1 \ln x \ln(1-x)d x$
53830
Evaluate $ \int_{0}^{1} \ln(x)\ln(1-x)\,dx $
121310
Integral $\int_0^1 \log \left(\Gamma\left(x+\alpha\right)\right)\,{\rm d}x=\frac{\log\left( 2 \pi\right)}{2}+\alpha \log\left(\alpha\right) -\alpha$
152860
How to evalute $\int_{0}^{1}\frac{x\log x}{\log(1-x)}dx$
6483
Computing $\int_{0}^{\pi}\ln\left(1-2a\cos x+a^2\right) \, dx$
85949
Integral involving logarithm: $\int_0^\infty \frac{ \ln x}{(x+a)(x+b)} dx$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
88368
Evaluating $\int_0^1 \sqrt{1 + x ^4 } \, d x $
155919
Integral $\small \int_0^\infty \frac{(\pi x - 2\log{x})^3}{\left(\log^2{x} + \frac{\pi^2}{4}\right)(1+x^2)^2} \text{d}x$
17996
Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
123802
Is the integral of $\frac{1}{x}$ equal to $\ln(x)$ or $\ln(|x|)$?
6552
Evaluation of the double integral $\int_{[0,1]×[0,1]} \max\{x, y\} dxdy$
24716
$\int_0^\infty\frac{\log x dx}{x^2-1}$ with a hint.
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 $\left|a\right|<1$
102639
How to receive the result of the integral $ \int\frac{1}{x}dx$ is $\ln|x|$?
67622
Proving of Integral $\int_{0}^{\infty}\frac{e^{-bx}-e^{-ax}}{x}dx = \ln\left(\frac{a}{b}\right)$
101045
Is there a closed form for the integral $\int_0^1 x^n \log^m (1-x) \, {\rm d}x$?