Alternative approach to the computation of $\int_0^\infty\frac{\sin(nx)}xdx$
3704
Evaluating the integral $\int_0^\infty \frac{\sin x} x \,\mathrm dx = \frac \pi 2$?
72039
Compute $\int_0^\infty\frac{\cos(xt)}{1+t^2}dt$
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
86712
Use rectangular contour to integrate $\int_{0}^{\infty}\frac{\sin(ax)}{e^{2\pi x}-1}dx$
35861
Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$
100569
Evaluating the improper integral $\int_{0}^{\infty} \frac{x^3}{e^{x}-1} dx$
77834
Is it possible to compute $\int_{-\infty}^\infty {x \sin x\over x^4+1}dx$ without using complex analysis?
63988
General formula for evaluating integrals of the form $\displaystyle\int_0^\infty x^ae^{-bx}dx$
53831
Find a general solution for $\int_{0}^{\infty} \sin\left(x^n\right)\:dx$
62109
$\int_{-\infty}^{\infty} \frac{\cos(αx)}{(x^2+1)(x^2+4)} \mathrm dx$ using Complex methods
107386
Compute $\lim_{n \to \infty} \int_0^{\frac{\pi}{2}} \sum_{k=1}^n (\sin{x})^kdx$
83703
Show that $\int_{0}^{\infty}|\frac{\sin x}{x}|\,dx=\infty $
51489
Simplifying the integral $\int\frac{dx}{(3 + 2\sin x - \cos x)}$ by an easy approach
828
Computing the integral of $\log(\sin x)$
74955
Simplify result of $\int_0^{\infty} \frac{1}{1+x^n}dx$
36457
Closed form for $\int \frac{1}{\sin^nx +\cos^mx}dx$
158147
Calculating $\int_{-\infty}^{\infty}\frac{\sin(ax)}{x}\, dx$ using complex analysis