Question

How to find this integral $\int_{0}^{1}\frac{x}{1-x^4}\arctan{\frac{x-x^5}{1+x^6}}\,dx$

score 285 · Answer 1 · 2014-03-31 13:32:50

285

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How to find this integral $\int_{0}^{1}\frac{x}{1-x^4}\arctan{\frac{x-x^5}{1+x^6}}\,dx$

Published on 31 Mar 2014 - 13:32

score 1.5k · Answer 2 · 2014-04-02 22:07:32

1.5k

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Closed form for $\int_0^{\pi/2}\frac{\sqrt{1+\sin\phi}}{\sqrt{\sin2\phi}\,\sqrt{\sin\phi+\cos\phi}}d\phi$

Published on 02 Apr 2014 - 22:07

score 966 · Answer 3 · 2026-03-26 09:42:16

966

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How find this series $\sum_{n=1}^{\infty}\frac{1}{n^2H_{n}}$?

Published on 26 Mar 2026 - 9:42

score 124 · Answer 4 · 2014-04-06 12:57:43

124

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Integration of $\int_0^\pi\int_0^\pi[\sin x\sin y\ge a]\,dx\,dy$

Published on 06 Apr 2014 - 12:57

score 120 · Answer 5 · 2014-04-09 08:45:47

120

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Closed form for $\prod_{k=1}^n \binom{k^2+2k}{k^2}$

Published on 09 Apr 2014 - 8:45

score 225 · Answer 6 · 2014-04-10 18:06:59

225

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How could I have found the closed form of $\sum_{k=1}^n \frac{k}{(k+1)!}$ in advance?

Published on 10 Apr 2014 - 18:06

score 122 · Answer 7 · 2014-04-12 15:41:52

122

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What is the sum of this series given the closed form?

Published on 12 Apr 2014 - 15:41

score 334 · Answer 8 · 2014-04-15 10:01:28

334

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Does this integral have any closed form? $\int\frac{1}{x+\sin(x+1)}\mathop{\mathrm dx}$

Published on 15 Apr 2014 - 10:01

score 2.8k · Answer 9 · 2014-04-21 10:15:06

2.8k

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Infinite Series $\sum\limits_{n=0}^\infty\frac{(-1)^n}{(2n+1)^{2m+1}}$

Published on 21 Apr 2014 - 10:15

score 2.2k · Answer 10 · 2014-04-21 17:51:35

2.2k

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Closed form for nth term of generating function

Published on 21 Apr 2014 - 17:51

score 263 · Answer 11 · 2014-04-26 02:25:45

263

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Guess the closed form on the following sequence?

Published on 26 Apr 2014 - 2:25

score 63 · Answer 12 · 2014-04-28 01:13:40

63

Views

Going from recurrence relations to closed form

Published on 28 Apr 2014 - 1:13

score 490 · Answer 13 · 2014-05-01 00:30:31

490

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Quadratic differential equation - closed form solution?

Published on 01 May 2014 - 0:30

score 6.5k · Answer 14 · 2014-05-02 15:13:05

6.5k

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Evaluate $\int\frac{1}{\sin(x-a)\sin(x-b)}\,dx$

Published on 02 May 2014 - 15:13

score 100 · Answer 15 · 2014-05-02 16:10:06

100

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Is there closed form for $(1-p)(1-p^2)(1-p^3)...$ or its Taylor expansion?

Published on 02 May 2014 - 16:10

List Question

How to find this integral $\int_{0}^{1}\frac{x}{1-x^4}\arctan{\frac{x-x^5}{1+x^6}}\,dx$

Closed form for $\int_0^{\pi/2}\frac{\sqrt{1+\sin\phi}}{\sqrt{\sin2\phi}\,\sqrt{\sin\phi+\cos\phi}}d\phi$

How find this series $\sum_{n=1}^{\infty}\frac{1}{n^2H_{n}}$?

Integration of $\int_0^\pi\int_0^\pi[\sin x\sin y\ge a]\,dx\,dy$

Closed form for $\prod_{k=1}^n \binom{k^2+2k}{k^2}$

How could I have found the closed form of $\sum_{k=1}^n \frac{k}{(k+1)!}$ in advance?

What is the sum of this series given the closed form?

Does this integral have any closed form? $\int\frac{1}{x+\sin(x+1)}\mathop{\mathrm dx}$

Infinite Series $\sum\limits_{n=0}^\infty\frac{(-1)^n}{(2n+1)^{2m+1}}$

Closed form for nth term of generating function

Guess the closed form on the following sequence?

Going from recurrence relations to closed form

Quadratic differential equation - closed form solution?

Evaluate $\int\frac{1}{\sin(x-a)\sin(x-b)}\,dx$

Is there closed form for $(1-p)(1-p^2)(1-p^3)...$ or its Taylor expansion?

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