List questions from improper-integrals

Published on 28 Nov 2019 - 15:25

125

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$f(x)>0$ or $f(x)+f(x+1)>0$. Is it true $\int_{-\infty}^{\infty}f>0$

Published on 29 Mar 2026 - 10:15

63

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How to solve this linear system function (Using Laplace Transform)

Published on 23 Feb 2026 - 9:24

110

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How to prove $\int^{\infty}_0 e^{-c^2/a^2}c^4\,dc=\frac{3}{8}a^5\sqrt\pi$?

Published on 29 Nov 2019 - 14:10

93

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How can I demonstrate the following equality: $\int_0^\infty \frac{\cos(yx)}{y^{2}+\lambda^{2}}\, dy = \frac{\pi}{2\lambda}e^{-\lambda x}$

Published on 31 Mar 2026 - 11:27

89

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Improper integral of $\int_{0}^{\infty} \frac{x^p}{1+x}dx$ with$ -1<p<0$

Published on 26 Mar 2026 - 4:53

204

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Finding $\int_0^\infty \frac{\ln{x}}{(x^2+e^2)^2}dx$

Published on 04 Apr 2026 - 16:35

45

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Proof verification: proving an improper integral exists

Published on 30 Nov 2019 - 19:58

81

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Function not piecewise continuous

Published on 25 Mar 2026 - 8:05

254

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Evaluate $\int_2^\infty\frac{\ln(t-1)}{(t-1)^5}\,dt$

Published on 01 Dec 2019 - 13:41

268

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Why aren't convergent series equal to infinity?

Published on 01 Dec 2019 - 16:09

193

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Lebesgue-integrability on a compact set

Published on 03 Apr 2026 - 18:53

41

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Differentiability of an improper integral with a parameter?

Published on 03 Dec 2019 - 7:17

32

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Double integral of $1/f(x;y)$ diverges in proximity of the curve $f(x;y)=0$.

Published on 04 Dec 2019 - 15:26

42

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Why this iterated integral shouldn't start with $\Omega_1$ or end with $\Omega_0$ in order to converge

Published on 31 Mar 2026 - 0:00

List Question

Convergence of $\int_0^{\infty}\frac{\ln (1 + x^2)}{\sqrt {2x^5 + x^6}}\,dx $

$f(x)>0$ or $f(x)+f(x+1)>0$. Is it true $\int_{-\infty}^{\infty}f>0$

How to solve this linear system function (Using Laplace Transform)

How to prove $\int^{\infty}_0 e^{-c^2/a^2}c^4\,dc=\frac{3}{8}a^5\sqrt\pi$?

How can I demonstrate the following equality: $\int_0^\infty \frac{\cos(yx)}{y^{2}+\lambda^{2}}\, dy = \frac{\pi}{2\lambda}e^{-\lambda x}$

Improper integral of $\int_{0}^{\infty} \frac{x^p}{1+x}dx$ with$ -1<p<0$

Finding $\int_0^\infty \frac{\ln{x}}{(x^2+e^2)^2}dx$

Proof verification: proving an improper integral exists

Function not piecewise continuous

Evaluate $\int_2^\infty\frac{\ln(t-1)}{(t-1)^5}\,dt$

Why aren't convergent series equal to infinity?

Lebesgue-integrability on a compact set

Differentiability of an improper integral with a parameter?

Double integral of $1/f(x;y)$ diverges in proximity of the curve $f(x;y)=0$.

Why this iterated integral shouldn't start with $\Omega_1$ or end with $\Omega_0$ in order to converge

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