Calculate $\int_{-\infty}^\infty {dx\over (1+x^2)^{n+1}}$
49074
Compute $\int\limits_{-\infty}^{\infty}\frac{1}{(1+x^2)^{n+1}}dx$ via residue calculus.
96191
Integral $\int_0^{\infty} \sin(x^2)/x^2\,dx$
60572
Computing $\int_{-\infty}^\infty \frac{\sin x}{x} \mathrm{d}x$ with residue calculus
110922
What are different ways to compute $\int_{0}^{+\infty}\frac{\cos x}{a^2+x^2}dx$?
111775
$\int_{-\infty}^{+\infty} e^{-x^2} dx$ with complex analysis
37260
Calculate $\lim_{n\to{+}\infty}{(\sqrt{n^{2}+n}-n)}$
16775
Showing that $\int_{0}^{\infty} \frac{dx}{1 + x^2} = 2 \int_0^1 \frac{dx}{1 + x^2}$
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
144039
Computing $ \int_0^{\infty} \frac{ \sqrt [3] {x+1}-\sqrt [3] {x}}{\sqrt{x}} \mathrm dx$
4225
How to calculate $\int\limits_{-\infty}^\infty\frac{e^{ix}}{x}dx$
48985
Calculating $\lim_{x\to+\infty}(\sqrt{x^2-3x}-x)$
84884
Need help with the integral $\int_{0}^\infty e^{-x^{2}}x^{2n+1}dx $
77834
Is it possible to compute $\int_{-\infty}^\infty {x \sin x\over x^4+1}dx$ without using complex analysis?
68319
How can I evaluate $\int_{-\infty}^{\infty} e^{-x^2} dx$ without using polar coordinates
33675
Find $\lim_{n\to \infty} \int_n^{n+1} {\sin x \over x} dx$
133160
Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$
70830
How to evaluate $\int_{0}^{\infty}\exp(-x^2-1/x^2)dx$?