Question

Methods for evaluating $\sum_{n=1}^\infty \frac1{a+(n-1)n}$

score 167 · Answer 1 · 2026-03-29 23:58:52

167

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Methods for evaluating $\sum_{n=1}^\infty \frac1{a+(n-1)n}$

Published on 29 Mar 2026 - 23:58

score 300 · Answer 2 · 2026-03-27 04:21:00

300

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What's the generating function for $\sum_{n=1}^\infty\frac{\overline{H}_n}{n^2}x^n\ ?$

Published on 27 Mar 2026 - 4:21

score 36 · Answer 3 · 2026-03-30 04:41:03

36

Views

$\prod_{I=0}^{24} \frac{n- i - 1}{n - i}$ have closed form?

Published on 30 Mar 2026 - 4:41

score 472 · Answer 4 · 2026-03-28 15:11:55

472

Views

Inverse of $x - \tanh(x)$

Published on 28 Mar 2026 - 15:11

score 436 · Answer 5 · 2020-01-30 22:15:26

436

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Evaluating $\int_0^1 \frac{\ln (1 - x) \operatorname{Li}_2 (-x)}{1 + x} \, dx$

Published on 30 Jan 2020 - 22:15

score 88 · Answer 6 · 2020-02-01 02:31:30

88

Views

Can I use integral calculus to derive the closed form of a logistic map?

Published on 01 Feb 2020 - 2:31

score 227 · Answer 7 · 2026-03-26 02:56:10

227

Views

Verify the closed form of $\sum_{k=1}^{\infty}\frac{\coth\pi k}{ke^{\pi k}}$

Published on 26 Mar 2026 - 2:56

score 146 · Answer 8 · 2026-03-27 06:10:22

146

Views

Computing $\sum_{n=1}^\infty\frac{(-1)^{n-1}H_n^{(2)}}{(2n+1)^4}$

Published on 27 Mar 2026 - 6:10

score 84 · Answer 9 · 2026-03-29 23:34:19

84

Views

$ \int_R | \frac{ \cos(x) + \cos( \sqrt 2 x) + \cos( \sqrt 3 x)}{1 + x^2} | dx = ? $

Published on 29 Mar 2026 - 23:34

score 81 · Answer 10 · 2020-02-07 00:53:33

81

Views

Closed-form expression for this Boolean polynomial?

Published on 07 Feb 2020 - 0:53

score 223 · Answer 11 · 2026-03-25 23:53:02

223

Views

Calculating $\int_0^\infty\frac{\ln^3x\ln(1+x)}{x(1+x)}\ dx$ using the Beta function

Published on 25 Mar 2026 - 23:53

score 34 · Answer 12 · 2026-02-23 12:06:36

34

Views

Constructive or closed-form expression for order $p$ element $x\in\left({\Bbb Z}\over{q\Bbb Z}\right)^\times$ for $p$, $q$ primes, $p\mid q-1$

Published on 23 Feb 2026 - 12:06

score 444 · Answer 13 · 2020-02-07 19:41:09

444

Views

Integral $\int_0^{\pi/2}x\arctan\left(\tfrac{1}{\sqrt3}+\tfrac{2}{\sqrt3}\tan x\right)dx$

Published on 07 Feb 2020 - 19:41

score 104 · Answer 14 · 2026-03-29 23:57:25

104

Views

Step by step conversion from recursive function to closed-form

Published on 29 Mar 2026 - 23:57

score 210 · Answer 15 · 2026-02-23 02:50:26

210

Views

Evaluate $\int_0^\infty x^{n+\frac12}e^{-\frac x2}\log^2x\,dx$ and $\int_0^\infty x^ne^{-\frac x2}\log^2x\,dx$

Published on 23 Feb 2026 - 2:50

List Question

Methods for evaluating $\sum_{n=1}^\infty \frac1{a+(n-1)n}$

What's the generating function for $\sum_{n=1}^\infty\frac{\overline{H}_n}{n^2}x^n\ ?$

$\prod_{I=0}^{24} \frac{n- i - 1}{n - i}$ have closed form?

Inverse of $x - \tanh(x)$

Evaluating $\int_0^1 \frac{\ln (1 - x) \operatorname{Li}_2 (-x)}{1 + x} \, dx$

Can I use integral calculus to derive the closed form of a logistic map?

Verify the closed form of $\sum_{k=1}^{\infty}\frac{\coth\pi k}{ke^{\pi k}}$

Computing $\sum_{n=1}^\infty\frac{(-1)^{n-1}H_n^{(2)}}{(2n+1)^4}$

$ \int_R | \frac{ \cos(x) + \cos( \sqrt 2 x) + \cos( \sqrt 3 x)}{1 + x^2} | dx = ? $

Closed-form expression for this Boolean polynomial?

Calculating $\int_0^\infty\frac{\ln^3x\ln(1+x)}{x(1+x)}\ dx$ using the Beta function

Constructive or closed-form expression for order $p$ element $x\in\left({\Bbb Z}\over{q\Bbb Z}\right)^\times$ for $p$, $q$ primes, $p\mid q-1$

Integral $\int_0^{\pi/2}x\arctan\left(\tfrac{1}{\sqrt3}+\tfrac{2}{\sqrt3}\tan x\right)dx$

Step by step conversion from recursive function to closed-form

Evaluate $\int_0^\infty x^{n+\frac12}e^{-\frac x2}\log^2x\,dx$ and $\int_0^\infty x^ne^{-\frac x2}\log^2x\,dx$

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