How to calculate $\int_0^\infty \frac{dx}{1+x^6}$
108554
Integrating $\int_0^\infty\frac{1}{1+x^6}dx$
77721
Is it possible to compute $\int_1^{+ \infty} \frac{dx}{x^2(1+e^x)}$?
133160
Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$
145183
finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis
120388
Evaluate $\int\frac{1}{1+x^6} \,dx$
138169
Finding $\lim\limits_{n \to \infty }n\int_{0}^{1}\frac{x^{n}}{1+x+x^{n}}dx$
110922
What are different ways to compute $\int_{0}^{+\infty}\frac{\cos x}{a^2+x^2}dx$?
100485
How do I evaluate the integral $\int_0^{\infty}\frac{x^5\sin(x)}{(1+x^2)^3}dx$?
90095
Integrate $\int_0^{\infty } \frac{\cos x}{x} dx$
144811
Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
84884
Need help with the integral $\int_{0}^\infty e^{-x^{2}}x^{2n+1}dx $
158760
How calculate the indefinite integral $\int\frac{1}{x^3+x+1}dx$
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
57463
Evaluate the integral using the theory of residues: $\int_{-\infty}^{\infty} \frac{dx}{(x^2+1)^2(x^2+16)}$
45622
Value of this definite integral $\int_{0}^{\infty} \frac{ \ln(x)}{x^2+2x+4} dx $
108357
Integral $\int_0^\infty \log^2 x\frac{1+x^2}{1+x^4}dx=\frac{3 \pi^3}{16\sqrt 2}$
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues