contour integral for $\int_0^\infty\frac{\ln x}{x^2+a^2}dx$
61515
Evaluate $\int_0^{\infty} \frac{\log(x)dx}{x^2+a^2}$ using contour integration
121736
An improper integral : $\int_{0}^\infty {\ln(a^2+x^2)\over{b^2+x^2}}dx$
150809
Compute $ \int_0^1\frac{\ln^2(1+x)}{1+x^2}\, dx$
100180
Evaluate the integral $\int_0^\infty \frac{dx}{\sqrt{(x^3+a^3)(x^3+b^3)}}$
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
34967
Compute $ \int_{0}^{ \infty }\frac{\ln xdx}{x^{2}+ax+b}$
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
17996
Integral $\int_0^1 \frac{\ln(x+\sqrt{1-x^2})}{x}dx$
49074
Compute $\int\limits_{-\infty}^{\infty}\frac{1}{(1+x^2)^{n+1}}dx$ via residue calculus.
109857
Contour integral of analytic function with singularity
124445
Integral of the form $\int_{0}^{\infty}e^{-ax}e^{-x^{4}}dx$
140638
Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
108554
Integrating $\int_0^\infty\frac{1}{1+x^6}dx$
102636
Contour Integral: $\int^{\infty}_{0}(1+z^n)^{-1}dz$
86923
Evaluating the integral $\int_0^\infty \frac{x \sin rx }{a^2+x^2} dx$ using only real analysis
147108
Prove that $\int_0^\infty \frac{x\,\log x}{(1+x^2)^2} = 0$
93071
Is there a way to calculate the improper integral $\int_0^\infty \big(\frac{\ln x}{x - 1}\big)^2 dx$?