List questions from improper-integrals

Published on 20 Dec 2018 - 10:31

109

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Help with a very hard integral

Published on 20 Dec 2018 - 12:45

85

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Solution to $\int_0^1 \left(\frac{\ln(x)}{1-x}\right)^2dx$ in a closed form.

Published on 25 Mar 2026 - 6:05

2.3k

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Improper integral of $1/(x-1)$

Published on 21 Dec 2018 - 21:10

259

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How to prove $\int_0^\infty \ln(1+\frac{z}{\cosh(x)})dx=\frac{\pi^2}{8}+\frac{(\cosh^{-1}(z))^2}{2},z\ge1$ and a closed form for $-1<z<1$?

Published on 26 Mar 2026 - 3:13

135

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Integration problem solving without contour integration

Published on 27 Mar 2026 - 21:43

181

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Finding the value of improper integral given some other integral's value

Published on 23 Dec 2018 - 9:48

68

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How can I prove the following integral identity?

Published on 27 Mar 2026 - 7:13

52

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Using series for determining the convergence of improper integral

Published on 23 Dec 2018 - 22:02

1.6k

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Gaussian integral times polynomial

Published on 24 Dec 2018 - 0:03

132

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Indefinite integral of reciprocal n degree polynomial

Published on 27 Mar 2026 - 10:09

41

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Analytic form of the infinite integration with oscillatory integrand?

Published on 20 Mar 2026 - 23:24

222

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Contour integration complex numbers

Published on 26 Dec 2018 - 22:51

261

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Evaluate integral of $\ln(u)\exp\{-bu\}/u du$

Published on 26 Mar 2026 - 14:42

330

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Ways to prove that $\int_0^\infty \frac{x^2 \ln(x)}{(1+x^2)^3} {\rm d}x = 0$.

Published on 29 Dec 2018 - 18:04

List Question

How to solve this improper integral $\int _{-\infty}^{\infty} e^{ax}/(e^x+1) dx$?

Help with a very hard integral

Solution to $\int_0^1 \left(\frac{\ln(x)}{1-x}\right)^2dx$ in a closed form.

Improper integral of $1/(x-1)$

How to prove $\int_0^\infty \ln(1+\frac{z}{\cosh(x)})dx=\frac{\pi^2}{8}+\frac{(\cosh^{-1}(z))^2}{2},z\ge1$ and a closed form for $-1<z<1$?

Integration problem solving without contour integration

Finding the value of improper integral given some other integral's value

How can I prove the following integral identity?

Using series for determining the convergence of improper integral

Gaussian integral times polynomial

Indefinite integral of reciprocal n degree polynomial

Analytic form of the infinite integration with oscillatory integrand?

Contour integration complex numbers

Evaluate integral of $\ln(u)\exp\{-bu\}/u du$

Ways to prove that $\int_0^\infty \frac{x^2 \ln(x)}{(1+x^2)^3} {\rm d}x = 0$.

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