List questions from closed-form

Published on 10 May 2026 - 21:50

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what is closed form of following series?

Published on 14 Apr 2026 - 9:38

186

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Integral $\int_{0}^{1}\int_{0}^{1}\sin\big\{ \tfrac{x}{y} \big\}\sin\big\{ \tfrac{y}{x} \big\}dxdy$

Published on 10 May 2026 - 12:35

7.4k

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Sum of $k(k-1)$

Published on 30 Apr 2026 - 6:43

195

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

Published on 19 Apr 2026 - 6:40

264

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Integral $I=\int_0^1 \frac{\ln x\arctan(ax)}{1+b^2x^2}dx$

Published on 16 Apr 2026 - 13:14

164

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Closed form of $ \int_{-1}^{1} \operatorname{erf}(x)^n \,dx $ for $ n$ is positive even integer

Published on 10 May 2026 - 19:03

168

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Is this really true :$\int_{1}^{n}\frac{dx}{\operatorname{\\erf(x)}}= n -\alpha$ with $\alpha$ is constant and $n >1$?

Published on 10 May 2026 - 14:32

51

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Closed form / computationally efficient method for binomial + factorial sum

Published on 09 Apr 2026 - 20:11

73

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Closed Form Recursive Functions

Published on 12 Apr 2026 - 17:57

85

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Closed Form For $C_n=-C_{n-1}+2$

Published on 14 Apr 2026 - 6:46

408

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$ y = \int_1^{\infty} \frac{\operatorname{li}(x)^2 (x - 1)}{x^4} dx $

Published on 17 Apr 2026 - 11:27

337

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Integral $\int_0^{\infty} \frac{e^{-x^2}}{a+b\cos{x}}dx$

Published on 17 Apr 2026 - 10:57

84

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Closed form for infinite series $\sum_{n=1}^\infty \prod_{j=1}^n \left[1-(\tfrac{j}{n}u+v)^2\right]^{-1} x^n$

Published on 15 Apr 2026 - 18:07

73

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Closed form for $\sum_{i=1}^{n}\binom{n}{i}\frac{x^{i}}{i}$

Published on 25 Mar 2026 - 9:53

List Question

Closed-form solution of a linear time-varying system

what is closed form of following series?

Integral $\int_{0}^{1}\int_{0}^{1}\sin\big\{ \tfrac{x}{y} \big\}\sin\big\{ \tfrac{y}{x} \big\}dxdy$

Sum of $k(k-1)$

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

Integral $I=\int_0^1 \frac{\ln x\arctan(ax)}{1+b^2x^2}dx$

Closed form of $ \int_{-1}^{1} \operatorname{erf}(x)^n \,dx $ for $ n$ is positive even integer

Is this really true :$\int_{1}^{n}\frac{dx}{\operatorname{\\erf(x)}}= n -\alpha$ with $\alpha$ is constant and $n >1$?

Closed form / computationally efficient method for binomial + factorial sum

Closed Form Recursive Functions

Closed Form For $C_n=-C_{n-1}+2$

$ y = \int_1^{\infty} \frac{\operatorname{li}(x)^2 (x - 1)}{x^4} dx $

Integral $\int_0^{\infty} \frac{e^{-x^2}}{a+b\cos{x}}dx$

Closed form for infinite series $\sum_{n=1}^\infty \prod_{j=1}^n \left[1-(\tfrac{j}{n}u+v)^2\right]^{-1} x^n$

Closed form for $\sum_{i=1}^{n}\binom{n}{i}\frac{x^{i}}{i}$

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