Question

Prove that $\left|\int_{-2\pi}^{2\pi}x^{2}\sin^{8}\left(e^{x}\right)dx\right|\le\frac{16\pi^{3}}{3}.$

score 557 · Answer 1 · 2018-05-08 05:31:55

557

Views

Prove that $\left|\int_{-2\pi}^{2\pi}x^{2}\sin^{8}\left(e^{x}\right)dx\right|\le\frac{16\pi^{3}}{3}.$

Published on 08 May 2018 - 5:31

score 1k · Answer 2 · 2018-05-08 06:38:39

1k

Views

Show that if $\int_{a}^{b}g(t)dt=0$ then $g(t)=0$ for all $t\in[a,b]$

Published on 08 May 2018 - 6:38

score 191 · Answer 3 · 2018-05-08 09:58:29

191

Views

$p\notin A$ a limit point of $A \iff$ for every $\delta > 0$ the intersection $B(p;\delta )\cap A$ is infinite

Published on 08 May 2018 - 9:58

score 339 · Answer 4 · 2026-03-25 23:16:37

339

Views

Is connectedness required to show that an analytic function with no zeros in a compact set but constant modulus on the boundary is constant?

Published on 25 Mar 2026 - 23:16

score 39 · Answer 5 · 2026-03-26 18:41:05

39

Views

Symmetry Respecting Formula for Product Distributions

Published on 26 Mar 2026 - 18:41

score 66 · Answer 6 · 2026-03-26 14:32:03

66

Views

Expectation of the sum of N Poisson r.v.

Published on 26 Mar 2026 - 14:32

score 130 · Answer 7 · 2026-04-01 02:53:18

130

Views

Proof check. Standard form for alternating polynomials

Published on 01 Apr 2026 - 2:53

score 927 · Answer 8 · 2018-05-08 15:39:41

927

Views

Let $U, V$ be two neighborhoods of $x_0$. Prove that $U\cap V$ is also a neighborhood of $x_0$

Published on 08 May 2018 - 15:39

score 317 · Answer 9 · 2026-03-27 14:51:41

317

Views

Show that the simple, symmetric random walk has no equilibrium distribution.

Published on 27 Mar 2026 - 14:51

score 288 · Answer 10 · 2026-03-27 03:44:33

288

Views

Show that: If $A \circ B =0$ but $A \neq 0$ and $B\neq 0$ then you have that $\det(A)=0=\det(B)$

Published on 27 Mar 2026 - 3:44

score 37 · Answer 11 · 2018-05-08 20:33:48

37

Views

Figuring out all possible combinations for a given circumstance

Published on 08 May 2018 - 20:33

score 699 · Answer 12 · 2026-03-25 22:23:58

699

Views

When to use Proof by Contradiction (with an example)

Published on 25 Mar 2026 - 22:23

score 330 · Answer 13 · 2026-03-28 12:12:39

330

Views

Unique stationary point for a coercive function must be a global minimum?

Published on 28 Mar 2026 - 12:12

score 507 · Answer 14 · 2026-03-25 15:58:58

507

Views

Prove that every finite non empty set has an smallest element

Published on 25 Mar 2026 - 15:58

score 27 · Answer 15 · 2026-03-30 01:26:35

27

Views

Connected space and path

Published on 30 Mar 2026 - 1:26

List Question

Prove that $\left|\int_{-2\pi}^{2\pi}x^{2}\sin^{8}\left(e^{x}\right)dx\right|\le\frac{16\pi^{3}}{3}.$

Show that if $\int_{a}^{b}g(t)dt=0$ then $g(t)=0$ for all $t\in[a,b]$

$p\notin A$ a limit point of $A \iff$ for every $\delta > 0$ the intersection $B(p;\delta )\cap A$ is infinite

Is connectedness required to show that an analytic function with no zeros in a compact set but constant modulus on the boundary is constant?

Symmetry Respecting Formula for Product Distributions

Expectation of the sum of N Poisson r.v.

Proof check. Standard form for alternating polynomials

Let $U, V$ be two neighborhoods of $x_0$. Prove that $U\cap V$ is also a neighborhood of $x_0$

Show that the simple, symmetric random walk has no equilibrium distribution.

Show that: If $A \circ B =0$ but $A \neq 0$ and $B\neq 0$ then you have that $\det(A)=0=\det(B)$

Figuring out all possible combinations for a given circumstance

When to use Proof by Contradiction (with an example)

Unique stationary point for a coercive function must be a global minimum?

Prove that every finite non empty set has an smallest element

Connected space and path

Trending Questions

Popular # Hahtags

Popular Questions