List questions from improper-integrals

Published on 14 Apr 2026 - 12:32

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Numerical integration with matrices

Published on 12 Apr 2026 - 9:38

154

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Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$

Published on 15 Apr 2026 - 18:07

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Find a sum, terms given as ratios of improper integrals

Published on 14 Apr 2026 - 19:14

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Prove that $\int_{-\infty}^{\infty} x^2 e^{-\alpha x^2} dx = \frac{1}{2} \sqrt{\frac{\pi}{\alpha^3}}$

Published on 17 Apr 2026 - 13:44

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Convergence of improper integral $\int_{0}^{+\infty}\frac{1}{\arctan ^\alpha x} dx$

Published on 16 Apr 2026 - 19:51

67

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Improper integral: why $\int_0^1(x^2+ x^{1/3})^{-1}\,dx$ is convergent and not $\int \frac{1}{x^2}\,dx$ ???

Published on 19 Apr 2026 - 0:59

2k

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Taylor expansion at discontinuous point

Published on 15 Apr 2026 - 4:40

207

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Simplification of this fourier transform signum function

Published on 15 Apr 2026 - 15:52

81

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Improper Integral, show that $\int_0^\infty \frac{x^2}{\theta^2}f(\frac{x}{\theta})\,d\theta=x$.

Published on 16 Apr 2026 - 11:56

63

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Convergence of $\int_{2}^{+\infty} \frac1{x \ln^\alpha x}dx$

Published on 16 Apr 2026 - 3:53

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Calculation of an improper integral in the context of complex functions

Published on 14 Apr 2026 - 15:27

99

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Improper complex integration

Published on 10 Apr 2026 - 0:26

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Fourier transform of the 1-d Coulomb potential

Published on 10 Apr 2026 - 11:53

106

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Analysing the convergence of improper integral with parameter

Published on 12 Apr 2026 - 11:47

List Question

Convergence of an improper integral (with a parameter)

Numerical integration with matrices

Closed form for $\int_0^\infty\frac{1}{(1+x^2)^s}\,dx$ when $s\in (0.5,\infty)\setminus\mathbb{N}$

Find a sum, terms given as ratios of improper integrals

Prove that $\int_{-\infty}^{\infty} x^2 e^{-\alpha x^2} dx = \frac{1}{2} \sqrt{\frac{\pi}{\alpha^3}}$

Convergence of improper integral $\int_{0}^{+\infty}\frac{1}{\arctan ^\alpha x} dx$

Improper integral: why $\int_0^1(x^2+ x^{1/3})^{-1}\,dx$ is convergent and not $\int \frac{1}{x^2}\,dx$ ???

Taylor expansion at discontinuous point

Simplification of this fourier transform signum function

Improper Integral, show that $\int_0^\infty \frac{x^2}{\theta^2}f(\frac{x}{\theta})\,d\theta=x$.

Convergence of $\int_{2}^{+\infty} \frac1{x \ln^\alpha x}dx$

Calculation of an improper integral in the context of complex functions

Improper complex integration

Fourier transform of the 1-d Coulomb potential

Analysing the convergence of improper integral with parameter

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