List questions from closed-form

Published on 05 Mar 2015 - 6:46

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Does this series have a closed form?

Published on 06 Mar 2015 - 2:15

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How to manipulate this summation in the easiest way possible?

Published on 07 Mar 2015 - 18:47

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Closed form of $ \int _{ 0 }^{ \pi /2 }{ x\sqrt { \tan { x } } \log { (\cos { x } ) }\ dx }$

Published on 08 Mar 2015 - 5:17

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For any given function $f\colon [0,1]\to\Bbb R$, what is $\int_0^1\frac{f(x)}{f(x)+f(1-x)}dx$?

Published on 08 Mar 2015 - 17:26

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Get a closed form of an expression

Published on 11 Mar 2015 - 18:32

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Show that $\int_1^{\infty } \frac{(\ln x)^2}{x^2+x+1} \, dx = \frac{8 \pi ^3}{81 \sqrt{3}}$

Published on 11 Mar 2015 - 22:32

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Can $\int_{-a}^{a}\frac{\sqrt{a^2-x^2}}{\log(\frac{4}{b}\sqrt{a^2-x^2})}e^{ikx}dx$ be found in closed form?

Published on 12 Mar 2015 - 10:14

112

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Calculating closed forms of integrals

Published on 13 Mar 2015 - 14:36

260

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Transcendental equations involving more than 2 terms

Published on 26 Mar 2026 - 1:06

178

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Two kind of equations involving natural log and exponentiation

Published on 26 Mar 2026 - 1:03

486

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How to find the value of $I_1=\int_0^\infty\frac{\sqrt{x}\arctan{x}\log^2({1+x^2})}{1+x^2}dx$

Published on 21 Mar 2015 - 13:59

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A closed form for $\sum\limits_n(e-(1+1/n)^n)$

Published on 21 Mar 2015 - 22:28

511

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Closed form for ${\large\int}_0^\infty\frac{x\,\sqrt{e^x-1}}{1-2\cosh x}\,dx$

Published on 28 Mar 2026 - 0:48

376

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Longest chord in the intersection n disks (circle areas)

Published on 29 Mar 2026 - 15:38

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Closed form expression for a sum

Does this series have a closed form?

How to manipulate this summation in the easiest way possible?

Closed form of $ \int _{ 0 }^{ \pi /2 }{ x\sqrt { \tan { x } } \log { (\cos { x } ) }\ dx }$

For any given function $f\colon [0,1]\to\Bbb R$, what is $\int_0^1\frac{f(x)}{f(x)+f(1-x)}dx$?

Get a closed form of an expression

Show that $\int_1^{\infty } \frac{(\ln x)^2}{x^2+x+1} \, dx = \frac{8 \pi ^3}{81 \sqrt{3}}$

Can $\int_{-a}^{a}\frac{\sqrt{a^2-x^2}}{\log(\frac{4}{b}\sqrt{a^2-x^2})}e^{ikx}dx$ be found in closed form?

Calculating closed forms of integrals

Transcendental equations involving more than 2 terms

Two kind of equations involving natural log and exponentiation

How to find the value of $I_1=\int_0^\infty\frac{\sqrt{x}\arctan{x}\log^2({1+x^2})}{1+x^2}dx$

A closed form for $\sum\limits_n(e-(1+1/n)^n)$

Closed form for ${\large\int}_0^\infty\frac{x\,\sqrt{e^x-1}}{1-2\cosh x}\,dx$

Longest chord in the intersection n disks (circle areas)

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