$\int_0^1\frac{\ln(x+1)}{x^2+1}dx$
34855
Evaluate the integral: $\int_{0}^{1} \frac{\ln(x+1)}{x^2+1} \mathrm dx$
109416
How to calculate $\int_0^1 \frac{\ln(1-x)}{x} dx$?
53518
Integrating : $\int_0^1 {\frac {x^a-x^b} {\ln x} dx}$
63956
Evaluate $\int_0^{\infty}\frac{\ln x}{x^a(x+1)}dx$ where $0<a<1$
126959
Prove $ \frac{1}{x+1} \le \ln(1+\frac{1}{x}) \le \frac{1}{x}$ with usage of the definition of a logarithmic function
49944
Integral $\int_1^3 \frac{\log x}{x^2+3}dx$
5034
A closed form of $\int_0^1\frac{\ln\ln\left({1}/{x}\right)}{x^2-x+1}\mathrm dx$
88670
Evaluating $\int \frac{1}{{x^4+1}} dx$
16775
Showing that $\int_{0}^{\infty} \frac{dx}{1 + x^2} = 2 \int_0^1 \frac{dx}{1 + x^2}$
24716
$\int_0^\infty\frac{\log x dx}{x^2-1}$ with a hint.
27195
Evaluating $\int_{0}^{1}\frac{1-x}{1+x}\frac{\mathrm dx}{\ln x}$
102649
Prove that $\int_0^1\frac{x\ln (1+x)}{1+x^2}dx=\frac{\pi^2}{96}+\frac{\ln^2 2}{8}$
72179
How to evaluate $\int_0^1\frac{\log^2(1+x)}x\mathrm dx$?
148743
$\int_0^\infty \frac{1}{1+x^ 9} \, dx$
83325
Integral of $\frac{\sqrt{x^2+1}}{x}$
31964
Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
115089
Definite Integral: $\int_0^1\frac{x^{2} -1}{\log x}\,dx$