List questions from closed-form

Published on 25 Mar 2026 - 9:29

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Integral $\int_0^1 \frac{\arctan x}{x^2-x-1}dx$

Published on 08 Feb 2019 - 19:41

167

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Integral $\int_0^\infty \frac{x^{2j}\mathrm dx}{(x^4+2ax^2+1)^{n+1}}$

Published on 11 Feb 2019 - 2:08

101

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Calculating $\int_{0}^{\pi}\text{sinh}\left(\sin\left(x\right)\right)\text{d}x$

Published on 11 Feb 2019 - 19:19

361

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Prove Poincaré Lemma for $1$-form

Published on 25 Mar 2026 - 12:53

346

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Finding $\int^{\frac{\pi}{8}}_{0}\ln(\tan x)\mathrm dx$

Published on 13 Feb 2019 - 16:03

564

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Is it true that $\int_0^1 \big(K(k^{1/2})\big)^2\,dk = \frac{7}2\zeta(3)$?

Published on 25 Mar 2026 - 7:44

182

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Finding the closed form for $x_n^2 = -x_{n-1}^2+6x_{n-2}^2+n$

Published on 15 Feb 2019 - 16:33

123

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General closed form for $L(\phi)=\int_0^\phi \log(\sin x)\mathrm dx$ when $\phi\in(0,\pi)$?

Published on 15 Feb 2019 - 17:42

142

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Analytical solution to the integral of ∫ x'dx?

Published on 25 Mar 2026 - 1:16

451

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Closed form of $\int_0^\pi \ln\left(1+\sin^2(t)\right) dt$?

Published on 23 Feb 2019 - 0:33

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Evaluate $\int_{0}^{\frac{\pi}{2}}\frac{dx}{\left(\sqrt{\sin x}+\sqrt{\cos x}\right)^2}$

Published on 23 Feb 2019 - 15:47

37

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Closed form for an integral involving an incomplete Gamma function?

Published on 24 Feb 2019 - 8:54

63

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Summation involving Binomial coefficients

Published on 24 Feb 2019 - 12:54

218

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Integral $\int^{1}_{1/2}\frac{\ln(x)}{1-x}dx$

Published on 24 Feb 2019 - 18:38

List Question

What is $\int_0^1 \left(\tfrac{\pi}2\,_2F_1\big(\tfrac13,\tfrac23,1,\,k^2\big)\right)^3 dk$?

Integral $\int_0^1 \frac{\arctan x}{x^2-x-1}dx$

Integral $\int_0^\infty \frac{x^{2j}\mathrm dx}{(x^4+2ax^2+1)^{n+1}}$

Calculating $\int_{0}^{\pi}\text{sinh}\left(\sin\left(x\right)\right)\text{d}x$

Prove Poincaré Lemma for $1$-form

Finding $\int^{\frac{\pi}{8}}_{0}\ln(\tan x)\mathrm dx$

Is it true that $\int_0^1 \big(K(k^{1/2})\big)^2\,dk = \frac{7}2\zeta(3)$?

Finding the closed form for $x_n^2 = -x_{n-1}^2+6x_{n-2}^2+n$

General closed form for $L(\phi)=\int_0^\phi \log(\sin x)\mathrm dx$ when $\phi\in(0,\pi)$?

Analytical solution to the integral of ∫ x'dx?

Closed form of $\int_0^\pi \ln\left(1+\sin^2(t)\right) dt$?

Evaluate $\int_{0}^{\frac{\pi}{2}}\frac{dx}{\left(\sqrt{\sin x}+\sqrt{\cos x}\right)^2}$

Closed form for an integral involving an incomplete Gamma function?

Summation involving Binomial coefficients

Integral $\int^{1}_{1/2}\frac{\ln(x)}{1-x}dx$

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