How to get to the closed form of $\int_{-\infty}^{\infty} \frac{x^2e^x}{(e^x+1)^2}$
105765
Integrating $\frac{x^k }{1+\cosh(x)}$
49074
Compute $\int\limits_{-\infty}^{\infty}\frac{1}{(1+x^2)^{n+1}}dx$ via residue calculus.
16775
Showing that $\int_{0}^{\infty} \frac{dx}{1 + x^2} = 2 \int_0^1 \frac{dx}{1 + x^2}$
143585
Solve the integral $\frac 1 {\sqrt {2 \pi t}}\int_{-\infty}^{\infty} x^2 e^{-\frac {x^2} {2t}}dx$
144039
Computing $ \int_0^{\infty} \frac{ \sqrt [3] {x+1}-\sqrt [3] {x}}{\sqrt{x}} \mathrm dx$
69978
Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
111775
$\int_{-\infty}^{+\infty} e^{-x^2} dx$ with complex analysis
75423
Computing $\int_0^\infty\frac{1}{(1+x^{2015})(1+x^2)}$
10806
Find the value of $\int_{-\infty}^\infty \int_{-\infty}^\infty e^{-(x^2+xy+y^2)} \, dx\,dy$
151649
Exact Values of the integal $\int_0^\infty \frac{r^{n-1}}{(1+r^2)^{\frac{s}{2}}}\,dr$
124026
Prove $\int^\infty_0\frac x{e^x-1}dx=\frac{\pi^2}{6}$
140203
Find the value of $\int_{-\infty}^{\infty} \frac{e^{-x^2}}{1+x^2} dx$ .
765
$\int_0^\infty \frac{\log(x)}{x^2+\alpha^2}$ using residues
137549
Given $\int_0^{\infty}e^{-x^2}dx = \frac{\sqrt{\pi}}{2}$, evaluate $\int_0^{\infty}e^{-a^2x^2-\frac{b^2}{x^2}}dx $
101045
Is there a closed form for the integral $\int_0^1 x^n \log^m (1-x) \, {\rm d}x$?
59667
Evaluating $\int_0^\infty\frac{\sin(x)}{x^2+1}\, dx$
36457
Closed form for $\int \frac{1}{\sin^nx +\cos^mx}dx$