Problem with $\int_{0}^{\infty} \frac{\log^2(x)}{1+x^2}$ (by residues)
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
68241
Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
115089
Definite Integral: $\int_0^1\frac{x^{2} -1}{\log x}\,dx$
24716
$\int_0^\infty\frac{\log x dx}{x^2-1}$ with a hint.
45622
Value of this definite integral $\int_{0}^{\infty} \frac{ \ln(x)}{x^2+2x+4} dx $
91306
Integration of $\frac{1}{\log(x)}$
109606
Detail in the use of the Residue Theorem for $\int\limits_{-\infty}^{\infty}\frac{\cos(2x)-1}{x^2}dx$
39723
$\int_2^\infty \left(\frac1{x\log^2x}\right)^p\mathrm dx$ diverges for p>1
57463
Evaluate the integral using the theory of residues: $\int_{-\infty}^{\infty} \frac{dx}{(x^2+1)^2(x^2+16)}$
75423
Computing $\int_0^\infty\frac{1}{(1+x^{2015})(1+x^2)}$
63427
A Problem with Residue Theorem
74241
Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$
49074
Compute $\int\limits_{-\infty}^{\infty}\frac{1}{(1+x^2)^{n+1}}dx$ via residue calculus.
115992
Integrating $\frac{\log(1+x)}{1+x^2}$
21464
Finding the integral $\int_0^1 \frac{x^a - 1}{\log x} dx$
77721
Is it possible to compute $\int_1^{+ \infty} \frac{dx}{x^2(1+e^x)}$?
104904
Calculating $\int_0^\infty \frac {\sin^2x}{x^2}dx$ using the Residue Theorem.