What is $\mathbb E[X\mid \sin(X)]$ when $X$ is uniform on $[0,\pi]$?
118253
Conditional expectation of $X$ given $\sin(X)$
93312
Fourier transform of the indicator of the unit ball
25652
Intuitive explanation for $\mathbb{E}X= \int_0^\infty 1-F(x) \, dx$
25618
$x,y,z$ independent and uniform random on $[0,1]$, $P(x \geq  yz)$?
74241
Integrate square of the log-sine integral: $\int_0^{\frac{\pi}{2}}\ln^{2}(\sin(x))dx$
37812
Prove that the function$\ f(x)=\sin(x^2)$ is not uniformly continuous on the domain $\mathbb{R}$.
103598
Showing that $\int_0^1 \log(\sin \pi x)dx=-\log2$
84185
density of $X^2$ when $X$ has uniform $[-1, 2]$ distribution
51837
Show that $\int_{0}^{\pi} xf(\sin(x))\text{d}x = \frac{\pi}{2}\int_{0}^{\pi}f(\sin(x))\text{d}x$
72036
Closed form of $\int_0^\infty \sin(x)\sin\left(\frac{1}{x}\right)dx$?
26373
Uniform continuity of $f(x) = x \sin{\frac{1}{x}}$ for $x \neq 0$ and $f(0) = 0.$
85529
When is $F(x)=x^a\sin(x^{-b})$ with $F(0)=0$ of bounded variation on $[0,1]$?
127449
Uniform continuous of $f(x,y) = \sin(x^2+y)$
94425
What is $\sup(\sin(n))$?
155170
Proving $\sin(x^2)$ Continuous but Not Uniformly Continuous with non-standard Definition
105145
Show that $\mathbb{E}\left(\bar{X}_{n}\mid X_{(1)},X_{(n)}\right) = \frac{X_{(1)}+X_{(n)}}{2}$
129892
show $\int_0^{\infty} \frac{x\sin ax}{x^2+t^2}dx = \frac{\pi}{2}e^{-at}$