List questions from closed-form

Published on 31 May 2014 - 11:14

246

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Evaluate $\int_0^\infty\frac{dx}{(x^3+(1+x^2)^{3/2}+x)(\sqrt{1+x^2} \tan^{-1} x+1)}$

Published on 02 Jun 2014 - 10:04

168

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A logarithm integral

Published on 02 Jun 2014 - 19:01

1.2k

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Evaluating $\int_0^{2\pi}\frac{dt}{\sqrt[4]{P(\cos t,\sin t)}}$

Published on 02 Jun 2014 - 21:50

194

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Compute $\sum_{n=1}^{+\infty}\frac{\mathrm{e}^{-\sqrt{n}}}{\sqrt{n}}$

Published on 05 Jun 2014 - 18:10

140

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Does sequences related to function for $lcm(1,2,3 \cdots n)$ exists?

Published on 10 Jun 2014 - 17:57

402

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Superelliptic Area Of $x^5+y^5=r^5$

Published on 11 Jun 2014 - 0:57

174

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Closed form of a trigonometric integral sought

Published on 11 Jun 2014 - 19:24

2.3k

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How to evaluate improper integral $\int_{0}^{\infty}\frac{\tan^{-1}{x}}{e^{ax}-1}dx$?

Published on 12 Jun 2014 - 3:42

322

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Relations between definite integrals not having a known closed form

Published on 27 Mar 2026 - 10:07

17

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How to determine a deficit of base 10 exponent from a minimum unit

Published on 25 Mar 2026 - 23:53

622

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Summation closed form.

Published on 14 Jun 2014 - 21:36

286

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Seeking closed-form solution to $\sum_{n=1}^{\infty}\frac{\log{(1+n)}}{(1+n)^{\alpha}-1}$

Published on 16 Jun 2014 - 8:54

911

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A closed form for a lot of integrals on the logarithm

Published on 25 Mar 2026 - 23:37

780

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Find a closed expression for a formula including summation

Published on 17 Jun 2014 - 17:56

List Question

$x^x-x+5=\frac{29}{4}$

Evaluate $\int_0^\infty\frac{dx}{(x^3+(1+x^2)^{3/2}+x)(\sqrt{1+x^2} \tan^{-1} x+1)}$

A logarithm integral

Evaluating $\int_0^{2\pi}\frac{dt}{\sqrt[4]{P(\cos t,\sin t)}}$

Compute $\sum_{n=1}^{+\infty}\frac{\mathrm{e}^{-\sqrt{n}}}{\sqrt{n}}$

Does sequences related to function for $lcm(1,2,3 \cdots n)$ exists?

Superelliptic Area Of $x^5+y^5=r^5$

Closed form of a trigonometric integral sought

How to evaluate improper integral $\int_{0}^{\infty}\frac{\tan^{-1}{x}}{e^{ax}-1}dx$?

Relations between definite integrals not having a known closed form

How to determine a deficit of base 10 exponent from a minimum unit

Summation closed form.

Seeking closed-form solution to $\sum_{n=1}^{\infty}\frac{\log{(1+n)}}{(1+n)^{\alpha}-1}$

A closed form for a lot of integrals on the logarithm

Find a closed expression for a formula including summation

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