Evaluating a definite integral involving $\log(1+x)$
102649
Prove that $\int_0^1\frac{x\ln (1+x)}{1+x^2}dx=\frac{\pi^2}{96}+\frac{\ln^2 2}{8}$
149341
Help me evaluate $\int_0^1 \frac{\log(x+1)}{1+x^2} dx$
80903
Help with integrating $\int_0^{\infty} \frac{(\log x)^2}{x^2 + 1} \operatorname d\!x$ - contour integration?
147977
Evaluate $\int_0^1\left(\frac{x-1}{x+1}\right)^n\frac{1}{\ln x} \,dx$
49944
Integral $\int_1^3 \frac{\log x}{x^2+3}dx$
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
109385
Evaluating the integral $\int_{-\ln 2}^{\ln 2} e^{-x}(\sin x+x)^{1/3}dx$
118800
Calculating $\int_0^\pi \log(1-2a\cos (x)+a^2)\,dx$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
146349
$\int_0^\infty \frac{\ln\left(1+x-\sqrt{2x}\right)}{1+x^2}\,dx$
91306
Integration of $\frac{1}{\log(x)}$
75267
integrate the following function: $\int_{0}^{\infty} \frac{\log{x}}{x^{2}+a^{2}} \ dx$
65982
Evaluate the improper integral $ \int_0^1 \frac{\ln(1+x)}{x}\,dx $
17333
Definite Integral $\int_2^4\frac{\sqrt{\log(9-x)}}{\sqrt{\log(9-x)}+\sqrt{\log(3+x)}}dx$
57686
Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$
117751
An integral of a rational function of logarithm and nonlinear arguments
155981
Evaluate an proper integral:$\int_0^\infty x\left(\log\left(\frac1{x^2}\right)\right)^n dx$