How do I solve $\int_0^1 \frac {\ln \frac {x^2 + \sqrt 3 x +1} {x^2 - \sqrt 3 x + 1}} x dx$?
64800
Evaluate $\int_0^1 \log \left( \frac{x^2+\sqrt{3}x+1}{x^2-\sqrt{3}x+1} \right) \frac{dx}{x} $
107119
A logarithmic integral $\int^1_0 \frac{\log\left(\frac{1+x}{1-x}\right)}{x\sqrt{1-x^2}}\,dx$
146349
$\int_0^\infty \frac{\ln\left(1+x-\sqrt{2x}\right)}{1+x^2}\,dx$
138174
Integral $\int_0^1 \frac{x\ln\left(\frac{1+x}{1-x}\right)}{\left(\pi^2+\ln^2\left(\frac{1+x}{1-x}\right)\right)^2}dx$
132124
$\int_{0}^{\infty}\frac{x}{x^3+1}dx$ =?
72179
How to evaluate $\int_0^1\frac{\log^2(1+x)}x\mathrm dx$?
26444
How can I integrate $\ln \left( x+\sqrt{1+x^2} \right) $?
67837
Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$
100401
Evaluate $\int \frac{1}{(x^2+1)^2}dx$
115598
Evaluating $\int_{0}^{1} dx\frac{\log(1+x)}{1 + x^2}$
12859
Find $\int \frac{x^3}{x^2-1} \:\mathrm{d}x$
52982
Efficient/faster methods to find the general closed form of $\int _0^1\frac{\ln \left(ax^2+b\right)}{x+1}\:dx$
80903
Help with integrating $\int_0^{\infty} \frac{(\log x)^2}{x^2 + 1} \operatorname d\!x$ - contour integration?
143878
Solve: $\int x^3\sqrt{4-x^2}dx$
138968
how to integrate $\frac{1}{\sqrt{e^{2x}+e^x+1}}$
115089
Definite Integral: $\int_0^1\frac{x^{2} -1}{\log x}\,dx$
147977
Evaluate $\int_0^1\left(\frac{x-1}{x+1}\right)^n\frac{1}{\ln x} \,dx$