Question

Is the question whether the value of a given definite integral has a closed-form decideable?

score 40 · Answer 1 · 2026-03-25 10:55:52

40

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Is the question whether the value of a given definite integral has a closed-form decideable?

Published on 25 Mar 2026 - 10:55

score 128 · Answer 2 · 2016-11-10 23:49:06

128

Views

Write the given product in closed form using the factorial operator:

Published on 10 Nov 2016 - 23:49

score 131 · Answer 3 · 2016-11-11 11:42:03

131

Views

Integer triangle - closed form formula (modified Pascal triangle)

Published on 11 Nov 2016 - 11:42

score 346 · Answer 4 · 2026-03-29 13:41:11

346

Views

Closed form for $\prod_{i=2}^{\infty} (1 - \frac{1}{i!})$

Published on 29 Mar 2026 - 13:41

score 176 · Answer 5 · 2026-03-28 09:57:40

176

Views

Conjectured value of $\int_0^1 (-x^a\cos(\ln{x})\ln(1-x))\,dx$, where $a\geq-1$

Published on 28 Mar 2026 - 9:57

score 133 · Answer 6 · 2016-11-11 16:22:34

133

Views

Please give hint to find the sum of this series: $\sum_{n=1}^{\infty}\frac{(-1)^{n-1}}{n!}$

Published on 11 Nov 2016 - 16:22

score 210 · Answer 7 · 2026-03-28 21:44:20

210

Views

On the closed form for $\sum_{m=0}^\infty \prod_{n=1}^m\frac{n}{5n-1}$

Published on 28 Mar 2026 - 21:44

score 173 · Answer 8 · 2016-11-12 20:20:06

173

Views

Evaluation of $\int_0^\infty\frac{-\ln{x}}{x^2+1}\ln\left(1-\frac{\ln{x}}{x^2+1}\right)\,dx$?

Published on 12 Nov 2016 - 20:20

score 130 · Answer 9 · 2016-11-13 01:12:53

130

Views

Evaluation of $\int\limits_{0}^{2\pi}\frac{a\cos x -1}{(a^2+1-2a\cos x)^{3/2}}dx.$

Published on 13 Nov 2016 - 1:12

score 141 · Answer 10 · 2026-03-28 21:44:18

141

Views

More on $\sum_{n=1}^\infty\frac{(4n)!}{\Gamma\left(\frac23+n\right)\,\Gamma\left(\frac43+n\right)\,n!^2\,(-256)^n}$

Published on 28 Mar 2026 - 21:44

score 728 · Answer 11 · 2026-03-26 01:09:41

728

Views

Finding a closed formula for the nth Lucas Number

Published on 26 Mar 2026 - 1:09

score 344 · Answer 12 · 2026-03-29 15:54:39

344

Views

Integrals, the golden ratio, and the plastic constant

Published on 29 Mar 2026 - 15:54

score 134 · Answer 13 · 2026-03-28 23:57:30

134

Views

Closed form expression to a nested radical formula

Published on 28 Mar 2026 - 23:57

score 323 · Answer 14 · 2016-11-16 04:22:15

323

Views

Find a non-recursive formula using Telescoping method

Published on 16 Nov 2016 - 4:22

score 43 · Answer 15 · 2026-03-26 01:14:31

43

Views

For which polynomials $p(x)$ with $deg(p)=3$ has $\sqrt{p(x)}$ an elementary antiderivate?

Published on 26 Mar 2026 - 1:14

List Question

Is the question whether the value of a given definite integral has a closed-form decideable?

Write the given product in closed form using the factorial operator:

Integer triangle - closed form formula (modified Pascal triangle)

Closed form for $\prod_{i=2}^{\infty} (1 - \frac{1}{i!})$

Conjectured value of $\int_0^1 (-x^a\cos(\ln{x})\ln(1-x))\,dx$, where $a\geq-1$

Please give hint to find the sum of this series: $\sum_{n=1}^{\infty}\frac{(-1)^{n-1}}{n!}$

On the closed form for $\sum_{m=0}^\infty \prod_{n=1}^m\frac{n}{5n-1}$

Evaluation of $\int_0^\infty\frac{-\ln{x}}{x^2+1}\ln\left(1-\frac{\ln{x}}{x^2+1}\right)\,dx$?

Evaluation of $\int\limits_{0}^{2\pi}\frac{a\cos x -1}{(a^2+1-2a\cos x)^{3/2}}dx.$

More on $\sum_{n=1}^\infty\frac{(4n)!}{\Gamma\left(\frac23+n\right)\,\Gamma\left(\frac43+n\right)\,n!^2\,(-256)^n}$

Finding a closed formula for the nth Lucas Number

Integrals, the golden ratio, and the plastic constant

Closed form expression to a nested radical formula

Find a non-recursive formula using Telescoping method

For which polynomials $p(x)$ with $deg(p)=3$ has $\sqrt{p(x)}$ an elementary antiderivate?

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