Definite Integral: $\int_0^1\frac{x^{2} -1}{\log x}\,dx$
8289
Hints on calculating the integral $\int_0^1\frac{x^{19}-1}{\ln x}\,dx$
72179
How to evaluate $\int_0^1\frac{\log^2(1+x)}x\mathrm dx$?
59352
Computing: $\int_0^1 \sqrt[3]{x\log{\frac{1}x}} \, \mathrm dx$
17996
Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
68241
Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
92637
Evaluating $\int \frac{\operatorname dx}{x\log x}$
104691
Integration of $\int_{0}^{1} \frac{x^k}{1-x} dx$
80903
Help with integrating $\int_0^{\infty} \frac{(\log x)^2}{x^2 + 1} \operatorname d\!x$ - contour integration?
149341
Help me evaluate $\int_0^1 \frac{\log(x+1)}{1+x^2} dx$
57686
Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$
64800
Evaluate $\int_0^1 \log \left( \frac{x^2+\sqrt{3}x+1}{x^2-\sqrt{3}x+1} \right) \frac{dx}{x} $
126654
What is the definite integral $\int_{-1}^1 \frac{1}{x} dx$ equal to?
91955
Integral of $\int\frac{1}{\log x}dx$
133485
How to solve $\int_0^{\infty} \frac{\log(x+\frac{1}{x})}{1+x^2}dx$?
102399
Computing $ \int_0^\infty \frac{\log x}{\exp x} \ dx $
74241
Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$
103598
Showing that $\int_0^1 \log(\sin \pi x)dx=-\log2$