Need help with $\int_0^1 \frac{\ln(1+x^2)}{1+x} dx$
34855
Evaluate the integral: $\int_{0}^{1} \frac{\ln(x+1)}{x^2+1} \mathrm dx$
58909
Evaluation of $\int\frac{dx}{x+ \sqrt{x^2-x+1}}$
145403
Stuck in integration: $\int {\frac{dx}{( 1+\sqrt {x})\sqrt{(x-{x}^2)}}}$
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
128607
Integral $\int\frac{(\ln x)^{10}}{x}\,dx$
5034
A closed form of $\int_0^1\frac{\ln\ln\left({1}/{x}\right)}{x^2-x+1}\mathrm dx$
53830
Evaluate $ \int_{0}^{1} \ln(x)\ln(1-x)\,dx $
19514
$\int_0^{\infty } \frac{\log (x)}{e^x+1} \, dx = -\frac{1}{2} \log ^2(2)$ How to show?
125069
Help with $\int \frac 1{\sqrt{a^2 - x^2}} \mathrm dx$
91306
Integration of $\frac{1}{\log(x)}$
138174
Integral $\int_0^1 \frac{x\ln\left(\frac{1+x}{1-x}\right)}{\left(\pi^2+\ln^2\left(\frac{1+x}{1-x}\right)\right)^2}dx$
45841
integral of $\int_{0}^{1}\frac{\ln(x^{2}+1)}{x+1}dx$ using contour integration?
79466
Evaluating $\int_0^1 \log \log \left(\frac{1}{x}\right) \frac{dx}{1+x^2}$
45622
Value of this definite integral $\int_{0}^{\infty} \frac{ \ln(x)}{x^2+2x+4} dx $
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
57686
Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$
145590
Compute the integral $\int\frac{dx}{(x^2-x+1)\sqrt{x^2+x+1}}$