How does the integral of $\sin^2(x)/x$ diverge from 1 to infinity?
139851
Test for divergence of $\int_{0}^{\infty} \frac{\sin^2(x)}{x}dx$ without evaluating the integral
147608
Cauchy principle value of $\int_{-\infty}^{\infty}\sin(x)/(x-a)dx$
10547
$\int_0^\infty \frac{\sin(x^2+ax)}{x}\,dx$ converges
86860
Continuity of differentiable function $x^2\sin(1/x)$
123899
$\int_0^{+\infty}\frac{\sin(x)}{x^\alpha}dx=\frac{\Gamma(\alpha/2)\Gamma(1-\alpha/2)}{2\Gamma(\alpha)}$
72036
Closed form of $\int_0^\infty \sin(x)\sin\left(\frac{1}{x}\right)dx$?
1150
Indefinite Integral of $\sqrt{\sin x}$
41659
Limit as $x\to 0$ of $x\sin(1/x)$
156531
Evaluating the integral $\int_{-\infty}^\infty \frac{\sin^2(x)}{x^2}e^{i t x} dx$
23685
Integrating $\int \sin^n{x} \ dx$
118330
How do we know what the integral of $\sin (x)$ is?
93071
Is there a way to calculate the improper integral $\int_0^\infty \big(\frac{\ln x}{x - 1}\big)^2 dx$?
48408
Definite Integral of $\sin(\sin x)$
151127
Confirm that $\int_{0}^{\infty}t^{-1}\sin t dt=\pi/2$
84884
Need help with the integral $\int_{0}^\infty e^{-x^{2}}x^{2n+1}dx $
129892
show $\int_0^{\infty} \frac{x\sin ax}{x^2+t^2}dx = \frac{\pi}{2}e^{-at}$
130736
Integrating $\int^0_\pi \frac{x \sin x}{1+\cos^2 x}$