Question

How to integrate $\frac{dx}{(x^2+k^2)^m}$, with $m$ positive integer.

score 76 · Answer 1 · 2016-05-28 12:26:44

76

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How to integrate $\frac{dx}{(x^2+k^2)^m}$, with $m$ positive integer.

Published on 28 May 2016 - 12:26

score 3.9k · Answer 2 · 2016-05-31 00:16:19

3.9k

Views

Prove $\ \sin(x) < x \ \ \ \forall x \in(0, 2\pi)$

Published on 31 May 2016 - 0:16

score 157 · Answer 3 · 2016-05-31 10:37:49

157

Views

How to integrate $\int{1\over \sqrt{x^2-1}}\mathrm d x$ another technique without use trigonometry

Published on 31 May 2016 - 10:37

score 667 · Answer 4 · 2016-06-03 03:47:43

667

Views

Sequence of continuous function converge uniformly to continuous function

Published on 03 Jun 2016 - 3:47

score 340 · Answer 5 · 2016-06-03 09:24:58

340

Views

Slicker way to prove $\rho$ is a metric

Published on 03 Jun 2016 - 9:24

score 337 · Answer 6 · 2026-04-08 22:42:02

337

Views

Obscure proof that $+$ and $\times$ are continuous?

Published on 08 Apr 2026 - 22:42

score 612 · Answer 7 · 2016-06-05 11:34:25

612

Views

Show that $\int_0^\infty\frac{1}{1+x^n}\,\mathrm dx = \frac{\pi/n}{\sin(\pi/n)}$ for $\mathbb{N}\ni n\geq 2$

Published on 05 Jun 2016 - 11:34

score 29 · Answer 8 · 2016-06-05 12:24:57

29

Views

How to proof that the set of all $X$ such that $X.A{\ge} c$ to some real number c is convex?

Published on 05 Jun 2016 - 12:24

score 261 · Answer 9 · 2016-06-05 13:39:36

261

Views

Proof of a statement about eigenvalues and eigenvectors.

Published on 05 Jun 2016 - 13:39

score 118 · Answer 10 · 2026-03-26 20:41:11

118

Views

Prove: if $f:\mathbb{N} \rightarrow A, g:\mathbb{N} \rightarrow B$ are surjections, there exists a surjection $h:\mathbb{N} \rightarrow A \cup B$

Published on 26 Mar 2026 - 20:41

score 63 · Answer 11 · 2016-06-06 03:24:52

63

Views

Is it possible to prove the completeness of $\ell^2$-space without using Minkowski inequality?

Published on 06 Jun 2016 - 3:24

score 6.9k · Answer 12 · 2016-06-07 17:06:30

6.9k

Views

Any $n \times n$ matrix $A$ can be written as $A = B + C$ with $B$ is symmetric and $C$ skew-symmetric.

Published on 07 Jun 2016 - 17:06

score 235 · Answer 13 · 2016-06-08 12:39:07

235

Views

How to integrate $\int_{-3}^3 (x^2-3)^{3} \,dx$ without expanding the polynomial?

Published on 08 Jun 2016 - 12:39

score 54 · Answer 14 · 2026-04-08 02:16:32

54

Views

Understanding the specific interchange of sum and integral

Published on 08 Apr 2026 - 2:16

score 6.4k · Answer 15 · 2016-06-09 17:47:48

6.4k

Views

For all real numbers x and y there is a real number $z$ such that $x + z = y − z$.

Published on 09 Jun 2016 - 17:47

List Question

How to integrate $\frac{dx}{(x^2+k^2)^m}$, with $m$ positive integer.

Prove $\ \sin(x) < x \ \ \ \forall x \in(0, 2\pi)$

How to integrate $\int{1\over \sqrt{x^2-1}}\mathrm d x$ another technique without use trigonometry

Sequence of continuous function converge uniformly to continuous function

Slicker way to prove $\rho$ is a metric

Obscure proof that $+$ and $\times$ are continuous?

Show that $\int_0^\infty\frac{1}{1+x^n}\,\mathrm dx = \frac{\pi/n}{\sin(\pi/n)}$ for $\mathbb{N}\ni n\geq 2$

How to proof that the set of all $X$ such that $X.A{\ge} c$ to some real number c is convex?

Proof of a statement about eigenvalues and eigenvectors.

Prove: if $f:\mathbb{N} \rightarrow A, g:\mathbb{N} \rightarrow B$ are surjections, there exists a surjection $h:\mathbb{N} \rightarrow A \cup B$

Is it possible to prove the completeness of $\ell^2$-space without using Minkowski inequality?

Any $n \times n$ matrix $A$ can be written as $A = B + C$ with $B$ is symmetric and $C$ skew-symmetric.

How to integrate $\int_{-3}^3 (x^2-3)^{3} \,dx$ without expanding the polynomial?

Understanding the specific interchange of sum and integral

For all real numbers x and y there is a real number $z$ such that $x + z = y − z$.

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