Integrate $\int^1_{0} \frac{\ln (x+1)}{x^2+1}dx$
34855
Evaluate the integral: $\int_{0}^{1} \frac{\ln(x+1)}{x^2+1} \mathrm dx$
21375
The integral $\int_0^\infty \dfrac{x \sin(x)}{x^2+1} dx$
79466
Evaluating $\int_0^1 \log \log \left(\frac{1}{x}\right) \frac{dx}{1+x^2}$
132383
Evaluate the integral $\int_{-1}^1\frac{dx}{(e^x+1)(x^2+1)}$.
62840
Seemingly Simple Integral $\int_0^1\frac{x^2\ln x}{\sqrt{1-x^2}}dx$.
119572
Finding the integral of $\frac{x}{e^x + 1}$
46898
Fast calculation for $\int_{0}^{\infty}\frac{\log x}{x^2+1}dx=0$
44059
Evaluating $\int_{-1}^{1}\frac{\arctan{x}}{1+x}\ln{\left(\frac{1+x^2}{2}\right)}dx$
53830
Evaluate $ \int_{0}^{1} \ln(x)\ln(1-x)\,dx $
32672
Integrating :$\int_{0}^{1} \frac{x^{b}-x^{a}}{\log(x)}\sin(\log(x))dx$
46310
Showing that $ \int_{0}^{1} \frac{x-1}{\ln(x)} \mathrm dx=\ln2 $
57686
Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$
83488
Integrating $\ln x$ by parts
102649
Prove that $\int_0^1\frac{x\ln (1+x)}{1+x^2}dx=\frac{\pi^2}{96}+\frac{\ln^2 2}{8}$
17852
$\int \frac{dx}{x\log(x)}$
106812
Find $\int_{0}^{\infty} \frac{\ln(x)}{1+x^2}dx$
91955
Integral of $\int\frac{1}{\log x}dx$