Integral $I=\int_0^1 \frac{\arctan\big(\sqrt{x^2 + 2}\big)}{\sqrt{x^2 + 2}(x^2 + 1)}dx$
100817
Generalizing $\int_{0}^{1} \frac{\arctan\sqrt{x^{2} + 2}}{\sqrt{x^{2} + 2}} \, \frac{\operatorname dx}{x^{2}+1} = \frac{5\pi^{2}}{96}$
83325
Integral of $\frac{\sqrt{x^2+1}}{x}$
21375
The integral $\int_0^\infty \dfrac{x \sin(x)}{x^2+1} dx$
102932
Integral $\int_0^\infty \frac{\arctan(x) dx}{x(1+x^2)}$?
154219
Help with integral $\int\frac{1}{\sqrt{\tan x}}dx$
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
156215
Integral $\int\frac{2x^2}{2x\cos(2x)+(x^2-1)\sin(2x)} \mathrm d x$
125069
Help with $\int \frac 1{\sqrt{a^2 - x^2}} \mathrm dx$
149341
Help me evaluate $\int_0^1 \frac{\log(x+1)}{1+x^2} dx$
2487
Integral $\int \frac{\mathrm{d}x}{\sqrt{x}+\sqrt{x+1}+\sqrt{x+2}}$
132388
Calculate $I=\int_0^1\frac{\ln(1+x)}{1+x^2}\,dx$
75423
Computing $\int_0^\infty\frac{1}{(1+x^{2015})(1+x^2)}$
89499
Evaluating the integral $\int_0^{\frac{\pi}{2}}\log\left(\frac{1+a\cos(x)}{1-a\cos(x)}\right)\frac{1}{\cos(x)}dx$
138174
Integral $\int_0^1 \frac{x\ln\left(\frac{1+x}{1-x}\right)}{\left(\pi^2+\ln^2\left(\frac{1+x}{1-x}\right)\right)^2}dx$
142365
Use of substitution into the integral $\int_0^2 \frac{\arctan x}{x^2+2x+2}dx$
150809
Compute $ \int_0^1\frac{\ln^2(1+x)}{1+x^2}\, dx$
45841
integral of $\int_{0}^{1}\frac{\ln(x^{2}+1)}{x+1}dx$ using contour integration?