List questions from gaussian-integral

Published on 25 Mar 2026 - 15:39

193

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How would I integrate $\int_{-\infty}^{\infty} e^{-(x+\tan(x))^2} \mathrm{d}x$?

Published on 02 Mar 2023 - 11:59

56

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Time-domain functions $f(t)$ whose Fourier Transform is $f(w)$

Published on 10 Mar 2023 - 1:02

187

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Transformation of CDF of multivariate Gaussian random variables?

Published on 25 Mar 2026 - 23:37

103

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Integration over a finite-dimensional subspace of Hilbert space

Published on 23 Feb 2026 - 12:04

178

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Generalization of the result of $\int_0^{\infty} \frac{e^{-x^2} \sin \left(x^2\right)}{x^2} d x$.

Published on 24 Mar 2023 - 10:28

125

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Integration of Gaussian $\times$ Laguerre functions

Published on 03 Mar 2026 - 2:25

125

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Solving an Exponential or Gaussian Integral

Published on 05 Apr 2023 - 17:22

30

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Gaussian/Chi-square expectation for a rational function with high-degree term

Published on 12 Apr 2023 - 18:57

85

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Definite integral of $\int_{-x}^{\infty} dz e^{-z^2/2} \sqrt{x+z}$

Published on 13 Apr 2023 - 20:08

208

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Generalization of $\int_0^{\infty} e^{-x^2} \cosh x d x$?

Published on 19 Apr 2023 - 10:11

60

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Integrating monomials over $\mathbb{S}^{n-1}$ - Folland

Published on 24 Apr 2023 - 16:00

62

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Inequality between $\int_x^{2x}e^{-t^2}dt$ and $xe^{-x^2}$

Published on 24 Apr 2023 - 18:59

111

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Gaussian integrals over an intersection of two half-spaces

Published on 25 Apr 2023 - 19:26

761

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How to evaluate $\displaystyle\int_{-\infty}^{\infty}e^{-\frac{x^{2}}{2}}\ln\left(1+e^{x}\right)\mathrm{d}x\textbf{ efficiently}$?

Published on 26 Apr 2023 - 22:31

List Question

$n$-dimensional spheres and gaussian scalar fields

How would I integrate $\int_{-\infty}^{\infty} e^{-(x+\tan(x))^2} \mathrm{d}x$?

Time-domain functions $f(t)$ whose Fourier Transform is $f(w)$

Transformation of CDF of multivariate Gaussian random variables?

Integration over a finite-dimensional subspace of Hilbert space

Generalization of the result of $\int_0^{\infty} \frac{e^{-x^2} \sin \left(x^2\right)}{x^2} d x$.

Integration of Gaussian $\times$ Laguerre functions

Solving an Exponential or Gaussian Integral

Gaussian/Chi-square expectation for a rational function with high-degree term

Definite integral of $\int_{-x}^{\infty} dz e^{-z^2/2} \sqrt{x+z}$

Generalization of $\int_0^{\infty} e^{-x^2} \cosh x d x$?

Integrating monomials over $\mathbb{S}^{n-1}$ - Folland

Inequality between $\int_x^{2x}e^{-t^2}dt$ and $xe^{-x^2}$

Gaussian integrals over an intersection of two half-spaces

How to evaluate $\displaystyle\int_{-\infty}^{\infty}e^{-\frac{x^{2}}{2}}\ln\left(1+e^{x}\right)\mathrm{d}x\textbf{ efficiently}$?

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