Improper integral of sin(x)/x from zero to infinity
58646
Are there any ways to evaluate $\int^\infty_0\frac{\sin x}{x}dx$ without using double integral?
123899
$\int_0^{+\infty}\frac{\sin(x)}{x^\alpha}dx=\frac{\Gamma(\alpha/2)\Gamma(1-\alpha/2)}{2\Gamma(\alpha)}$
6549
What is the integral of $\sin(\cos x)$?
129892
show $\int_0^{\infty} \frac{x\sin ax}{x^2+t^2}dx = \frac{\pi}{2}e^{-at}$
41133
What is the integral of function $f(x) = (\sin x)/x$
83191
improper integrals (comparison theorem)
15324
A sine integral $\int_0^{\infty} \left(\frac{\sin x }{x }\right)^n\,\mathrm{d}x$
91196
Complex Integration of $\int_0^\infty e^{-ax}\cos(bx)\,dx$
29425
$\int_{0}^{\infty}\frac{\sin^{2n+1}(x)}{x} \mathrm {d}x$ Evaluate Integral
48408
Definite Integral of $\sin(\sin x)$
25797
Integral of $ x \ln( \sin (x))$ from 0 to $ \pi $
24056
Convergence of the improper integral $\int_{0}^{\pi/2}\tan^{p}(x) \; dx$
63650
Evaluating the contour integral $\int_{0}^{\infty}\frac{\sin^{3}(x)}{x^{3}}\mathrm dx$
88597
Improper integral from 1 to infinity $\Rightarrow$ integrated function converges towards zero?
138355
Improper rational/trig integral comes out to $\pi/e$
104904
Calculating $\int_0^\infty \frac {\sin^2x}{x^2}dx$ using the Residue Theorem.
156231
Computing $\lim\limits_{n\to\infty} \int_{0}^{\infty}\frac{\sin(x/n)}{(1+x/n)^{n}}\, dx$