Contour integral of log over fractional power
63956
Evaluate $\int_0^{\infty}\frac{\ln x}{x^a(x+1)}dx$ where $0<a<1$
59987
Power rule for Logarithms
92637
Evaluating $\int \frac{\operatorname dx}{x\log x}$
139784
Computing integration $\int_0^1\frac{\ln x}{1-x}d x$
108396
Integral $\int_0^{\infty} \frac{\log x}{\cosh^2x} \ \mathrm{d}x = \log\frac {\pi}4- \gamma$
115992
Integrating $\frac{\log(1+x)}{1+x^2}$
118324
Other challenging logarithmic integral $\int_0^1 \frac{\log^2(x)\log(1-x)\log(1+x)}{x}dx$
21464
Finding the integral $\int_0^1 \frac{x^a - 1}{\log x} dx$
81914
Integrating $\int_0^1 \frac {\log(1-x)\log^2(1+x)}x \mathrm{d}x$
75577
Double integral over a typical region.
79466
Evaluating $\int_0^1 \log \log \left(\frac{1}{x}\right) \frac{dx}{1+x^2}$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
81831
Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$
84267
Real integral by keyhole contour
75267
integrate the following function: $\int_{0}^{\infty} \frac{\log{x}}{x^{2}+a^{2}} \ dx$
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
118800
Calculating $\int_0^\pi \log(1-2a\cos (x)+a^2)\,dx$