Question

Evaluating $\int \arccos\bigl(\frac{\cos (x)}{r}\bigr)\sin^2(x){\mathrm dx}$

score 179 · Answer 1 · 2026-03-27 14:02:30

179

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Evaluating $\int \arccos\bigl(\frac{\cos (x)}{r}\bigr)\sin^2(x){\mathrm dx}$

Published on 27 Mar 2026 - 14:02

score 296 · Answer 2 · 2026-04-02 13:22:16

296

Views

Need help finding a closed form for complicated sum

Published on 02 Apr 2026 - 13:22

score 275 · Answer 3 · 2015-01-09 19:52:54

275

Views

Finding the closed form for $\sum_{n=1}^{\infty }\frac{\zeta (4n)}{\beta^{4n-1}}$

Published on 09 Jan 2015 - 19:52

score 110 · Answer 4 · 2015-01-09 22:54:05

110

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What techniques does Mathematica use to find solutions to these sequences?

Published on 09 Jan 2015 - 22:54

score 404 · Answer 5 · 2015-01-10 17:51:15

404

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How can I evaluate $\int_0^{\pi/2}\frac{x\cos{x}}{3\sin^2x+1}dx$ and $\int_0^{\pi/2}\frac{x\cos{x}}{\sin^2x+3}dx$?

Published on 10 Jan 2015 - 17:51

score 375 · Answer 6 · 2026-03-29 03:36:27

375

Views

How to evaluate $\sum _{n=1}^{\infty } \frac{(-1)^{n+1} H_{2 n}^{(2)}}{n} = 2\zeta(3) - \frac \pi 2 G- \frac {\pi }{48}\ln 2$?

Published on 29 Mar 2026 - 3:36

score 745 · Answer 7 · 2015-01-11 08:48:07

745

Views

What is the expected number of questions answered to complete a sequence in which wrong answers send you to the start?

Published on 11 Jan 2015 - 8:48

score 2.6k · Answer 8 · 2015-01-11 18:54:20

2.6k

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Closed form for ${\large\int}_0^\infty\frac{x-\sin x}{\left(e^x-1\right)x^2}\,dx$

Published on 11 Jan 2015 - 18:54

score 696 · Answer 9 · 2026-03-27 07:50:46

696

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Sum: $\sum_{n=1}^\infty\prod_{k=1}^n\frac{k}{k+a}=\frac{1}{a-1}$

Published on 27 Mar 2026 - 7:50

score 367 · Answer 10 · 2015-01-14 22:57:31

367

Views

Variation on Stokes Theorem for Manifolds

Published on 14 Jan 2015 - 22:57

score 175 · Answer 11 · 2015-01-15 15:29:29

175

Views

Variation on Stokes Theorem for Manifolds (2)

Published on 15 Jan 2015 - 15:29

score 1.1k · Answer 12 · 2026-04-01 08:53:46

1.1k

Views

Hypergeometric 2F1 with negative c

Published on 01 Apr 2026 - 8:53

score 254 · Answer 13 · 2015-01-18 18:35:40

254

Views

Evaluting sum $\sum \limits_{n=0}^\infty\frac{n^k}{n!}$

Published on 18 Jan 2015 - 18:35

score 372 · Answer 14 · 2026-03-29 03:03:41

372

Views

Does there exist a closed form for $L_k$ for any $k>3$?

Published on 29 Mar 2026 - 3:03

score 228 · Answer 15 · 2026-04-01 07:51:36

228

Views

Closed form for $ \prod_{k=1}^n (a+k^2) $

Published on 01 Apr 2026 - 7:51

List Question

Evaluating $\int \arccos\bigl(\frac{\cos (x)}{r}\bigr)\sin^2(x){\mathrm dx}$

Need help finding a closed form for complicated sum

Finding the closed form for $\sum_{n=1}^{\infty }\frac{\zeta (4n)}{\beta^{4n-1}}$

What techniques does Mathematica use to find solutions to these sequences?

How can I evaluate $\int_0^{\pi/2}\frac{x\cos{x}}{3\sin^2x+1}dx$ and $\int_0^{\pi/2}\frac{x\cos{x}}{\sin^2x+3}dx$?

How to evaluate $\sum _{n=1}^{\infty } \frac{(-1)^{n+1} H_{2 n}^{(2)}}{n} = 2\zeta(3) - \frac \pi 2 G- \frac {\pi }{48}\ln 2$?

What is the expected number of questions answered to complete a sequence in which wrong answers send you to the start?

Closed form for ${\large\int}_0^\infty\frac{x-\sin x}{\left(e^x-1\right)x^2}\,dx$

Sum: $\sum_{n=1}^\infty\prod_{k=1}^n\frac{k}{k+a}=\frac{1}{a-1}$

Variation on Stokes Theorem for Manifolds

Variation on Stokes Theorem for Manifolds (2)

Hypergeometric 2F1 with negative c

Evaluting sum $\sum \limits_{n=0}^\infty\frac{n^k}{n!}$

Does there exist a closed form for $L_k$ for any $k>3$?

Closed form for $ \prod_{k=1}^n (a+k^2) $

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