Question

How to compute a variable that could not be separated into one side of the equation?

score 50 · Answer 1 · 2017-10-15 19:12:42

50

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How to compute a variable that could not be separated into one side of the equation?

Published on 15 Oct 2017 - 19:12

score 123 · Answer 2 · 2026-03-25 05:36:12

123

Views

Show that $\int_{0}^{1}\ln\left({1+x\over 1-x}\right){\mathrm dx\over 1+x^2}=C$

Published on 25 Mar 2026 - 5:36

score 2.4k · Answer 3 · 2017-10-17 14:29:32

2.4k

Views

Closed form of the $n^{th}$-derivative of $f(x) = \arctan x$

Published on 17 Oct 2017 - 14:29

score 76 · Answer 4 · 2017-10-17 22:33:05

76

Views

Sequence $a * \sum_{k=0}^{n} \frac{x^k}{k!}F[n-k]$

Published on 17 Oct 2017 - 22:33

score 148 · Answer 5 · 2017-10-20 02:16:03

148

Views

Trying to solve this integral containing tanh and cosh

Published on 20 Oct 2017 - 2:16

score 76 · Answer 6 · 2026-04-08 02:09:50

76

Views

What is the closed form of : $\int_{0}^\infty\alpha(\frac{x}{\beta})^{\alpha}e^{-(\frac{x}{\beta})^\alpha}dx$.

Published on 08 Apr 2026 - 2:09

score 116 · Answer 7 · 2017-10-23 23:31:22

116

Views

A system of ODEs (Point Kinetics)

Published on 23 Oct 2017 - 23:31

score 159 · Answer 8 · 2026-03-28 15:20:25

159

Views

Express in terms of constants and series $-\int_0^1\log\left( \left\{ x^{-1/3} \right\} \right)dx$

Published on 28 Mar 2026 - 15:20

score 133 · Answer 9 · 2026-03-26 18:56:32

133

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Evaluating $~\sum\limits_{n>0}H(e^n)-n-\gamma~$ in Closed Form

Published on 26 Mar 2026 - 18:56

score 235 · Answer 10 · 2017-10-27 14:01:38

235

Views

Integral $\int^1_0\frac{\log\cos(\frac{\pi x}{2})}{x(1+x)}\,dx$ with logarithm of cosine and rational function.

Published on 27 Oct 2017 - 14:01

score 183 · Answer 11 · 2026-04-02 00:28:12

183

Views

Closed form for the function $f(x)=\ln\prod_{k=1}^\infty\frac{1+a^k}{1+a^{k+x}}$

Published on 02 Apr 2026 - 0:28

score 23 · Answer 12 · 2017-10-29 16:31:04

23

Views

Closed form for swapping a number between two intervals

Published on 29 Oct 2017 - 16:31

score 2.6k · Answer 13 · 2017-10-29 16:31:56

2.6k

Views

Find closed form of the ordinary generating function for sequences

Published on 29 Oct 2017 - 16:31

score 655 · Answer 14 · 2017-10-30 00:13:20

655

Views

The generating function for the number of ways to select $n$ items of $10$ types, choosing at least one and no more than $12$ of each type

Published on 30 Oct 2017 - 0:13

score 981 · Answer 15 · 2026-03-30 12:40:11

981

Views

Finding the general/closed form of $\sum_{k=1}^n k^a$

Published on 30 Mar 2026 - 12:40

List Question

How to compute a variable that could not be separated into one side of the equation?

Show that $\int_{0}^{1}\ln\left({1+x\over 1-x}\right){\mathrm dx\over 1+x^2}=C$

Closed form of the $n^{th}$-derivative of $f(x) = \arctan x$

Sequence $a * \sum_{k=0}^{n} \frac{x^k}{k!}F[n-k]$

Trying to solve this integral containing tanh and cosh

What is the closed form of : $\int_{0}^\infty\alpha(\frac{x}{\beta})^{\alpha}e^{-(\frac{x}{\beta})^\alpha}dx$.

A system of ODEs (Point Kinetics)

Express in terms of constants and series $-\int_0^1\log\left( \left\{ x^{-1/3} \right\} \right)dx$

Evaluating $~\sum\limits_{n>0}H(e^n)-n-\gamma~$ in Closed Form

Integral $\int^1_0\frac{\log\cos(\frac{\pi x}{2})}{x(1+x)}\,dx$ with logarithm of cosine and rational function.

Closed form for the function $f(x)=\ln\prod_{k=1}^\infty\frac{1+a^k}{1+a^{k+x}}$

Closed form for swapping a number between two intervals

Find closed form of the ordinary generating function for sequences

The generating function for the number of ways to select $n$ items of $10$ types, choosing at least one and no more than $12$ of each type

Finding the general/closed form of $\sum_{k=1}^n k^a$

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