List questions from improper-integrals

Published on 25 Mar 2026 - 9:53

157

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I want to prove $k(x,t)=\frac{1}{\sqrt{4\pi t} } e^{\frac{-x^2}{4t}} $

Published on 30 May 2014 - 10:04

202

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Integral involving a logarithm and a linear rational function

Published on 30 May 2014 - 13:18

79

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A Subadditive Function Satisfying an Integrability Property

Published on 31 May 2014 - 0:53

122

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Calculate integral using the method of parameter derivation or integration

Published on 31 May 2014 - 7:20

280

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Tricky improper integral

Published on 31 May 2014 - 11:16

103

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Study the convergence of the improper integral without calculating it, then find its value when it converge

Published on 31 May 2014 - 14:05

137

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Improper integral to infinite sum and proper integral.

Published on 31 May 2014 - 15:36

140

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Calculating an integral with a branch cut, using some "uniqueness property"

Published on 25 Mar 2026 - 3:19

131

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Is it possible to compute $\int_1^{+ \infty} \frac{dx}{x^2(1+e^x)}$?

Published on 01 Jun 2014 - 5:37

656

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Exponential integral $ \int_0^\infty \frac{x^t}{\Gamma(t+1)}\text dt$

Published on 25 Mar 2026 - 3:02

478

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Improper integral with sine and cosine

Published on 01 Jun 2014 - 8:00

98

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A doubt about an improper integral

Published on 30 Mar 2026 - 1:44

247

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Evaluate $\int_0^\infty\frac{dx}{(x^3+(1+x^2)^{3/2}+x)(\sqrt{1+x^2} \tan^{-1} x+1)}$

Published on 28 Mar 2026 - 5:23

232

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How to integrate this integral from Fourier transform?

Published on 02 Jun 2014 - 12:41

List Question

Euler product for Riemann zeta and analytic continuation

I want to prove $k(x,t)=\frac{1}{\sqrt{4\pi t} } e^{\frac{-x^2}{4t}} $

Integral involving a logarithm and a linear rational function

A Subadditive Function Satisfying an Integrability Property

Calculate integral using the method of parameter derivation or integration

Tricky improper integral

Study the convergence of the improper integral without calculating it, then find its value when it converge

Improper integral to infinite sum and proper integral.

Calculating an integral with a branch cut, using some "uniqueness property"

Is it possible to compute $\int_1^{+ \infty} \frac{dx}{x^2(1+e^x)}$?

Exponential integral $ \int_0^\infty \frac{x^t}{\Gamma(t+1)}\text dt$

Improper integral with sine and cosine

A doubt about an improper integral

Evaluate $\int_0^\infty\frac{dx}{(x^3+(1+x^2)^{3/2}+x)(\sqrt{1+x^2} \tan^{-1} x+1)}$

How to integrate this integral from Fourier transform?

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