Evaluate $\int_0^1\frac{\ln{(x^2+1)}}{x+1}dx$
45841
integral of $\int_{0}^{1}\frac{\ln(x^{2}+1)}{x+1}dx$ using contour integration?
81831
Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$
119572
Finding the integral of $\frac{x}{e^x + 1}$
91955
Integral of $\int\frac{1}{\log x}dx$
72179
How to evaluate $\int_0^1\frac{\log^2(1+x)}x\mathrm dx$?
157931
Contour integration of $\int \frac{dx} {(1+x^2)^{n+1}}$
115992
Integrating $\frac{\log(1+x)}{1+x^2}$
30459
Evaluate $\int^1_0 \log^2(1-x) \log^2(x) \, dx$
92637
Evaluating $\int \frac{\operatorname dx}{x\log x}$
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
107119
A logarithmic integral $\int^1_0 \frac{\log\left(\frac{1+x}{1-x}\right)}{x\sqrt{1-x^2}}\,dx$
67837
Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$
46898
Fast calculation for $\int_{0}^{\infty}\frac{\log x}{x^2+1}dx=0$
79466
Evaluating $\int_0^1 \log \log \left(\frac{1}{x}\right) \frac{dx}{1+x^2}$
53518
Integrating : $\int_0^1 {\frac {x^a-x^b} {\ln x} dx}$
89499
Evaluating the integral $\int_0^{\frac{\pi}{2}}\log\left(\frac{1+a\cos(x)}{1-a\cos(x)}\right)\frac{1}{\cos(x)}dx$
123802
Is the integral of $\frac{1}{x}$ equal to $\ln(x)$ or $\ln(|x|)$?