Integrate $\int_0^\infty \frac{\log(\frac{1+ix}{1-ix})}{e^{2\pi x} - 1} dx$
49333
How to evaluate improper integral $\int_{0}^{\infty}\frac{\tan^{-1}{x}}{e^{ax}-1}dx$?
17852
$\int \frac{dx}{x\log(x)}$
30829
A question in Complex Analysis $\int_0^{2\pi}\log(1-2r\cos x +r^2)\,dx$
147108
Prove that $\int_0^\infty \frac{x\,\log x}{(1+x^2)^2} = 0$
115089
Definite Integral: $\int_0^1\frac{x^{2} -1}{\log x}\,dx$
42758
How to find $ \int_0^\infty \dfrac x{1+e^x}\ dx$
115598
Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$
149341
Help me evaluate $\int_0^1 \frac{\log(x+1)}{1+x^2} dx$
41738
Best way to integrate $ \int_0^\infty \frac{e^{-at} - e^{-bt}}{t} \text{d}t $
90313
Integrate $\int_0^\pi{{x\sin x}\over{1+\cos^2x}}dx$.
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
146349
$\int_0^\infty \frac{\ln\left(1+x-\sqrt{2x}\right)}{1+x^2}\,dx$
115992
Integrating $\frac{\log(1+x)}{1+x^2}$
49944
Integral $\int_1^3 \frac{\log x}{x^2+3}dx$
31964
Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
24716
$\int_0^\infty\frac{\log x dx}{x^2-1}$ with a hint.
91955
Integral of $\int\frac{1}{\log x}dx$