List questions from improper-integrals

Published on 28 Mar 2026 - 13:22

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Evaluate the improper integral with residues.

Published on 16 Apr 2026 - 11:40

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Understanding principal value integral

Published on 25 Mar 2026 - 23:35

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How to prove $ \int_{-\infty}^{+\infty}\left|x\right|^ke^{-(x-3)^2/2}dx $ is finite?

Published on 16 Apr 2026 - 7:15

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How to calculate this integral containing a ArcTanh function?

Published on 13 Apr 2026 - 16:30

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Integral involving logarithm: $\int_0^\infty \frac{ \ln x}{(x+a)(x+b)} dx$

Published on 15 Apr 2026 - 16:30

25

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Determine the convergence of integral-Bound help needed

Published on 10 Apr 2026 - 17:32

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Why the sum of two divergent integrals has to be divergent?

Published on 13 Apr 2026 - 4:39

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Evaluating a Erfc integral

Published on 28 Mar 2026 - 13:22

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Convergence/divergence of $\int_0^1 \frac{\sin(\frac{1}{x})}{\sqrt{x}}dx$?

Published on 17 Apr 2026 - 15:56

178

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$\lim_{x \rightarrow \infty} f(x) \not = 0$ $\implies$ $\int_0^{\infty} f(x)dx$ diverges?

Published on 16 Apr 2026 - 11:23

282

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express integrals as limits

Published on 17 Apr 2026 - 14:39

91

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Closed form for this integral (looks like Bessel)

Published on 14 Apr 2026 - 1:36

429

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A Beautiful Integral: $\int_{0}^{\pi/2}\log(\sin x)\log(\cos x)\,dx$

Published on 25 Apr 2026 - 7:26

89

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How to prove reflection positivity for $|x|^{-p}$ using Fourier transform (and contour integrals)

Published on 13 Apr 2026 - 14:35

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Seeking help with an error function Integral

Evaluate the improper integral with residues.

Understanding principal value integral

How to prove $ \int_{-\infty}^{+\infty}\left|x\right|^ke^{-(x-3)^2/2}dx $ is finite?

How to calculate this integral containing a ArcTanh function?

Integral involving logarithm: $\int_0^\infty \frac{ \ln x}{(x+a)(x+b)} dx$

Determine the convergence of integral-Bound help needed

Why the sum of two divergent integrals has to be divergent?

Evaluating a Erfc integral

Convergence/divergence of $\int_0^1 \frac{\sin(\frac{1}{x})}{\sqrt{x}}dx$?

$\lim_{x \rightarrow \infty} f(x) \not = 0$ $\implies$ $\int_0^{\infty} f(x)dx$ diverges?

express integrals as limits

Closed form for this integral (looks like Bessel)

A Beautiful Integral: $\int_{0}^{\pi/2}\log(\sin x)\log(\cos x)\,dx$

How to prove reflection positivity for $|x|^{-p}$ using Fourier transform (and contour integrals)

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