Calculate $\int _{x=0}^{\infty} \frac{\sin(x)}{x}$ with the function $\frac{e^{iz}}{z}$
3704
Evaluating the integral $\int_0^\infty \frac{\sin x} x \,\mathrm dx = \frac \pi 2$?
100194
Calculating $ \int _{0} ^{\infty} \frac{x^{3}}{e^{x}-1}\;dx$
86712
Use rectangular contour to integrate $\int_{0}^{\infty}\frac{\sin(ax)}{e^{2\pi x}-1}dx$
148613
Integrate $\int_{0}^{1}{x^{-x}(1-x)^{x-1}\sin{\pi x}dx}$
72039
Compute $\int_0^\infty\frac{\cos(xt)}{1+t^2}dt$
77721
Is it possible to compute $\int_1^{+ \infty} \frac{dx}{x^2(1+e^x)}$?
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
23087
Evaluate $\int_0^\infty \frac{(\log x)^2}{1+x^2} dx$ using complex analysis
104904
Calculating $\int_0^\infty \frac {\sin^2x}{x^2}dx$ using the Residue Theorem.
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
86923
Evaluating the integral $\int_0^\infty \frac{x \sin rx }{a^2+x^2} dx$ using only real analysis
4833
Compute $\int_0^1\frac{f(x)}{f(x)+f(1-x)}dx$ and $\int_{-\pi}^{\pi}\frac{1}{1+e^{\sin (x)}}\,dx$?
96191
Integral $\int_0^{\infty} \sin(x^2)/x^2\,dx$
106587
Calculation of an integral with a Bessel function
60572
Computing $\int_{-\infty}^\infty \frac{\sin x}{x} \mathrm{d}x$ with residue calculus
29425
$\int_{0}^{\infty}\frac{\sin^{2n+1}(x)}{x} \mathrm {d}x$ Evaluate Integral
4225
How to calculate $\int\limits_{-\infty}^\infty\frac{e^{ix}}{x}dx$