A 'complicated' integral: $ \int \limits_{-\infty}^{\infty}\frac{\sin(x)}{x}$
3704
Evaluating the integral $\int_0^\infty \frac{\sin x} x \,\mathrm dx = \frac \pi 2$?
111775
$\int_{-\infty}^{+\infty} e^{-x^2} dx$ with complex analysis
89387
Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$
41447
tough integral involving $\sin(x^2)$ and $\sinh^2 (x)$
70845
Contour method to show that $\int_0^\infty\frac{x-\sin x}{x^3} \, dx=\frac\pi4$
122843
Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$
147662
For what values $s$ does $\int_{0}^{\infty} \frac{\sin x}{x^s}dx$ converge?
21375
The integral $\int_0^\infty \dfrac{x \sin(x)}{x^2+1} dx$
60572
Computing $\int_{-\infty}^\infty \frac{\sin x}{x} \mathrm{d}x$ with residue calculus
132000
Calculate $\int_0^\infty\frac{\sin x}xdx$ by integration of a suitable function along given paths
152339
Complex-valued Fourier integral: $ \int_{ - \infty }^{ + \infty } {\frac{{\cos (ax)}}{{{x^2} + 1}}{e^{ - ibx}}\,\mathrm dx} $
107351
Evaluate the improper integral $\int_{0}^{\infty}{f(x)-f(2x)\over x}dx$, where $\lim_{x \to \infty} f(x) = L$
100569
Evaluating the improper integral $\int_{0}^{\infty} \frac{x^3}{e^{x}-1} dx$
100485
How do I evaluate the integral $\int_0^{\infty}\frac{x^5\sin(x)}{(1+x^2)^3}dx$?
19526
Integral of an integral with variable limits
101546
Lebesgue integral $\int_{(0, \infty)} \frac{\sin x}{x} dm$ doesn't exist but improper Riemann integral exists
109606
Detail in the use of the Residue Theorem for $\int\limits_{-\infty}^{\infty}\frac{\cos(2x)-1}{x^2}dx$