Calculate $\int_0^1\frac{x^9-1}{\log x}{\rm d}x$ using Beta and Gamma function
19716
What is $\int_0^1\frac{x^7-1}{\log(x)}\mathrm dx$?
72179
How to evaluate $\int_0^1\frac{\log^2(1+x)}x\mathrm dx$?
147977
Evaluate $\int_0^1\left(\frac{x-1}{x+1}\right)^n\frac{1}{\ln x} \,dx$
23522
Exponential integral $ \int_0^\infty \frac{x^t}{\Gamma(t+1)}\text dt$
89499
Evaluating the integral $\int_0^{\frac{\pi}{2}}\log\left(\frac{1+a\cos(x)}{1-a\cos(x)}\right)\frac{1}{\cos(x)}dx$
79466
Evaluating $\int_0^1 \log \log \left(\frac{1}{x}\right) \frac{dx}{1+x^2}$
148743
$\int_0^\infty \frac{1}{1+x^ 9} \, dx$
74241
Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$
67837
Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$
24974
Closed form for $\int_0^1\log\log\left(\frac{1}{x}+\sqrt{\frac{1}{x^2}-1}\right)\mathrm dx$
81914
Integrating $\int_0^1 \frac {\log(1-x)\log^2(1+x)}x \mathrm{d}x$
90245
Computing $\int^1_0 \frac{p^2-1}{\text{ln } p}dp$
129947
Integral of $\log(\sin(x))$ using contour integrals
100801
A $\log \Gamma $ identity: Where does it come from?
57686
Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$
115992
Integrating $\frac{\log(1+x)}{1+x^2}$
103598
Showing that $\int_0^1 \log(\sin \pi x)dx=-\log2$