Mellin transform of $\sin x$ aka $\int^{\infty}_0 x^{s-1}\sin x dx $
123899
$\int_0^{+\infty}\frac{\sin(x)}{x^\alpha}dx=\frac{\Gamma(\alpha/2)\Gamma(1-\alpha/2)}{2\Gamma(\alpha)}$
98836
Showing $\int_x^{x+1}f(t)\,dt \xrightarrow{x\to\infty}0$ for $f\in L^2 (\mathbb{R})$
22099
Integrate $e^{ax}\sin(bx)?$
64480
How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
134866
Does the integral $\int_{1}^{\infty} \sin(x\log x) \,\mathrm{d}x$ converge?
51488
Evaluating $\int^\pi_{-\pi} \cos^3(x) \cos(ax)~dx$
90313
Integrate $\int_0^\pi{{x\sin x}\over{1+\cos^2x}}dx$.
24182
Evaluating $\int_{0}^{\infty}\frac{\sin^{2n+1}x}{x}\mathrm{d}x$
29425
$\int_{0}^{\infty}\frac{\sin^{2n+1}(x)}{x} \mathrm {d}x$ Evaluate Integral
145335
Is $ \int_0^1{\frac{\sin x}{x}dx} $ convergent?
115469
Integral of Sinc Function Squared Over The Real Line
72036
Closed form of $\int_0^\infty \sin(x)\sin\left(\frac{1}{x}\right)dx$?
68866
Is $\int_{-\infty}^{\infty} \sin x \, \mathrm{dx}$ divergent or convergent?
77834
Is it possible to compute $\int_{-\infty}^\infty {x \sin x\over x^4+1}dx$ without using complex analysis?
1392
$\int_{0}^{\infty}{\left(x^3\cdot(e^x-1)^{-1} \right)}dx$
118715
Inverse Laplace transform of $\frac{1}{s\sinh{c\sqrt{s}}}$
87169
Convergence of $\int_{1}^{\infty}x\cdot \sin{(e^x})\,dx$