Integral $\int_{0}^{1} \dfrac{\ln(1-x)}{x}~dx$
109416
How to calculate $\int_0^1 \frac{\ln(1-x)}{x} dx$?
89602
$ \int_{0}^{ \infty} \int_{0}^{ \infty} \frac { e^{-(x+y)}}{x+y} dx dy $
99753
How to prove $\int_0^1\frac{1-x}{(\ln x)(1+x)}\ dx=\ln\left(\frac2{\pi}\right)$?
46310
Showing that $ \int_{0}^{1} \frac{x-1}{\ln(x)} \mathrm dx=\ln2 $
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
146349
$\int_0^\infty \frac{\ln\left(1+x-\sqrt{2x}\right)}{1+x^2}\,dx$
91333
How to find $\int_{0}^{1}\dfrac{\ln^2{x}\ln^2{(1-x)}}{2-x}dx$
113066
Calculate $\int_0^1f(x)dx$
74241
Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$
102639
How to receive the result of the integral $ \int\frac{1}{x}dx$ is $\ln|x|$?
54638
Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
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 $\left|a\right|<1$
67622
Proving of Integral $\int_{0}^{\infty}\frac{e^{-bx}-e^{-ax}}{x}dx = \ln\left(\frac{a}{b}\right)$
31660
Integral $\int_{0}^{1}\left\{\frac{1}{x}\right\}\left\{\frac{1}{1-x}\right\}\left\{1-\frac{1}{x}\right\} d x=?$
128607
Integral $\int\frac{(\ln x)^{10}}{x}\,dx$
31964
Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$