Help with finding $\int_0^\infty \frac{\arctan(x)\log(x^2+1)}{x(x^2+1)}$
101174
A closed form for a triple integral with sines and cosines
77053
Evaluating $\int_{0}^{1}\frac{\arcsin{\sqrt{x}}}{x^4-2x^3+2x^2-x+1}\operatorname d\!x$
122843
Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$
68504
Compute $\int_0^1 \frac{\arcsin(x)}{x}dx$
59352
Computing: $\int_0^1 \sqrt[3]{x\log{\frac{1}x}} \, \mathrm dx$
106812
Find $\int_{0}^{\infty} \frac{\ln(x)}{1+x^2}dx$
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
103757
how can I prove that $\frac{\arctan x}{x }< 1$?
76400
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
72039
Compute $\int_0^\infty\frac{\cos(xt)}{1+t^2}dt$
100817
Generalizing $\int_{0}^{1} \frac{\arctan\sqrt{x^{2} + 2}}{\sqrt{x^{2} + 2}} \, \frac{\operatorname dx}{x^{2}+1} = \frac{5\pi^{2}}{96}$
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
85949
Integral involving logarithm: $\int_0^\infty \frac{ \ln x}{(x+a)(x+b)} dx$
21464
Finding the integral $\int_0^1 \frac{x^a - 1}{\log x} dx$
115992
Integrating $\frac{\log(1+x)}{1+x^2}$
107119
A logarithmic integral $\int^1_0 \frac{\log\left(\frac{1+x}{1-x}\right)}{x\sqrt{1-x^2}}\,dx$
74241
Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$