List questions from improper-integrals

Published on 26 Mar 2026 - 2:35

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Definite Integral $\int_0^\infty\exp(-\sqrt{x^2+y^2})\left(\frac{1}{x^2+y^2}+\frac{1}{\sqrt{x^2+y^2}}\right)dx$ (mod. Bessel funs 2nd kind $K_n$?)

Published on 16 Apr 2026 - 21:58

195

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How to find all values for $\alpha$ and $\beta$ such that $\int _0^{\infty }f\left(x\right)$ converge

Published on 16 Apr 2026 - 14:08

165

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How to evaluate $\int_{0}^{\infty }\frac{e^{-x^{2}}}{\sqrt{t^{2}+x}}\mathrm{d}x$

Published on 14 Apr 2026 - 2:00

70

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Prove that a function is $L^p(\mathbb{R})$

Published on 03 May 2026 - 20:17

61

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Can someone help me with my proof about a limit evaluation?

Published on 11 Apr 2026 - 15:48

107

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A clean way to obtain an (analytic or numeric) solution for this integral?

Published on 14 Apr 2026 - 1:06

110

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Study the convergence of this improper integral

Published on 12 Apr 2026 - 23:23

377

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Convergence of the integral $\int_0^\infty e^{-x^3} \mathop{\mathrm{d}x}$

Published on 14 Apr 2026 - 16:21

923

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$n$-th derivative of Beta function

Published on 12 Apr 2026 - 17:20

67

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Improper integral with module

Published on 13 Apr 2026 - 5:02

77

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What's about $\sum_{n=1}^\infty e^{-p_n u}$, where $p_n$ is the nth-prime number?

Published on 16 Apr 2026 - 4:55

146

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Using residue theorem to integrate from $-\infty$ to $\infty$

Published on 12 Apr 2026 - 4:04

223

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Show that $\int_{-\infty}^\infty {{x^2-3x+2}\over {x^4+10x^2+9}}dx={5\pi\over 12}$

Published on 16 Apr 2026 - 22:53

930

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Contour Integration of $\sin^2(x)/(1+x^2)$

Published on 15 Apr 2026 - 20:38

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Regularizing the sum of all factorials

Definite Integral $\int_0^\infty\exp(-\sqrt{x^2+y^2})\left(\frac{1}{x^2+y^2}+\frac{1}{\sqrt{x^2+y^2}}\right)dx$ (mod. Bessel funs 2nd kind $K_n$?)

How to find all values for $\alpha$ and $\beta$ such that $\int _0^{\infty }f\left(x\right)$ converge

How to evaluate $\int_{0}^{\infty }\frac{e^{-x^{2}}}{\sqrt{t^{2}+x}}\mathrm{d}x$

Prove that a function is $L^p(\mathbb{R})$

Can someone help me with my proof about a limit evaluation?

A clean way to obtain an (analytic or numeric) solution for this integral?

Study the convergence of this improper integral

Convergence of the integral $\int_0^\infty e^{-x^3} \mathop{\mathrm{d}x}$

$n$-th derivative of Beta function

Improper integral with module

What's about $\sum_{n=1}^\infty e^{-p_n u}$, where $p_n$ is the nth-prime number?

Using residue theorem to integrate from $-\infty$ to $\infty$

Show that $\int_{-\infty}^\infty {{x^2-3x+2}\over {x^4+10x^2+9}}dx={5\pi\over 12}$

Contour Integration of $\sin^2(x)/(1+x^2)$

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