Compute $\int_{-\infty}^{+\infty} \frac{\sin(x)^k}{x^k} \, dx$ for arbitrary $k > 1$
32289
Closed form for integral of integer powers of Sinc function
93205
Compute: $\int_{0}^{1}\frac{x^4+1}{x^6+1} dx$
140638
Integrating $\int_0^{\infty} \frac{dx}{1+x^3}$ using residues.
59667
Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
58646
Are there any ways to evaluate $\int^\infty_0\frac{\sin x}{x}dx$ without using double integral?
123694
How to compute the integral $\int_{0}^{\infty} \frac{x^{1/3}}{1+x^{2}} \ dx$
117587
$\int_{0}^{1}\frac{\sin^{-1}\sqrt x}{x^2-x+1}dx$
49074
Compute $\int\limits_{-\infty}^{\infty}\frac{1}{(1+x^2)^{n+1}}dx$ via residue calculus.
133955
Compute: $\sum_{k=1}^{\infty}\sum_{n=1}^{\infty} \frac{1}{k^2n+2nk+n^2k}$
95426
How to compute $ \frac{1}{\sqrt{2\pi}} \int_{-\infty}^\infty \frac{e^{-{x^2}/{2}}}{1+e^{-(ax+b)}}\,\mathrm dx $ when $b \ne 0$
105765
Integrating $\frac{x^k }{1+\cosh(x)}$
126046
solving the integral $ \int_0^\infty \dfrac{\sin xt}{x(x^2+1)} dx $
104691
Integration of $\int_{0}^{1} \frac{x^k}{1-x} dx$
58909
Evaluation of $\int\frac{dx}{x+ \sqrt{x^2-x+1}}$
123899
$\int_0^{+\infty}\frac{\sin(x)}{x^\alpha}dx=\frac{\Gamma(\alpha/2)\Gamma(1-\alpha/2)}{2\Gamma(\alpha)}$
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
11757
How can I compute the integral $\int_{0}^{\infty} \frac{dt}{1+t^4}$?