List questions from improper-integrals

Published on 26 Mar 2026 - 12:50

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Evaluate $ \int_{0}^{1} \ln(x)\ln(1-x)\,dx $

Published on 30 Mar 2026 - 11:06

150

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$\int_0^{\infty}\frac{dx}{(x^2+\sqrt{x})^p}$ convergence

Published on 03 Sep 2014 - 14:09

303

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How to do this integral $\int_{-\infty}^{\infty}{\rm e}^{-x^{2}}\cos\left(\,kx\,\right)\,{\rm d}x$

Published on 28 Mar 2026 - 8:27

95

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Is there anything wrong with this proof?

Published on 04 Sep 2014 - 12:27

770

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Integral $\int\limits_0^1 \frac{\ln x\ln ( 1 - zx )}{1 - x} dx$

Published on 04 Sep 2014 - 14:21

347

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How to show $\int_{0}^{\pi / 2} \ln\left(\tan x - \sqrt{2 \tan x} + 1\right){d}x = 0 $

Published on 31 Mar 2026 - 16:14

178

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How to prove this integral?

Published on 05 Sep 2014 - 4:50

200

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Calculus Question: Improper integral $\displaystyle\int_{-\infty}^{\infty} x^{2}e^{x-e^{2x}}dx$

Published on 06 Sep 2014 - 10:04

459

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Numerical integration of improper integral of the second kind

Published on 06 Sep 2014 - 18:00

471

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Solving Coulomb Integral in 1D

Published on 30 Mar 2026 - 17:07

35.5k

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Deriving Mean and Variance of Laplace Distribution

Published on 07 Sep 2014 - 14:31

85

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Improper integral of rational function $k^2/(1+a^2k^2)^2$

Published on 08 Sep 2014 - 0:11

482

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Wolfram alpha says that $\int_{-\infty}^\infty e^{-ix^2}dx = \sqrt{\frac{\pi}{i}}$

Published on 08 Sep 2014 - 10:26

91

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Help finding k. Issue with integration

Published on 09 Sep 2014 - 9:13

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Looking for closed-forms of $\int_0^{\pi/4}\ln^2(\sin x)\,dx$ and $\int_0^{\pi/4}\ln^2(\cos x)\,dx$

Evaluate $ \int_{0}^{1} \ln(x)\ln(1-x)\,dx $

$\int_0^{\infty}\frac{dx}{(x^2+\sqrt{x})^p}$ convergence

How to do this integral $\int_{-\infty}^{\infty}{\rm e}^{-x^{2}}\cos\left(\,kx\,\right)\,{\rm d}x$

Is there anything wrong with this proof?

Integral $\int\limits_0^1 \frac{\ln x\ln ( 1 - zx )}{1 - x} dx$

How to show $\int_{0}^{\pi / 2} \ln\left(\tan x - \sqrt{2 \tan x} + 1\right){d}x = 0 $

How to prove this integral?

Calculus Question: Improper integral $\displaystyle\int_{-\infty}^{\infty} x^{2}e^{x-e^{2x}}dx$

Numerical integration of improper integral of the second kind

Solving Coulomb Integral in 1D

Deriving Mean and Variance of Laplace Distribution

Improper integral of rational function $k^2/(1+a^2k^2)^2$

Wolfram alpha says that $\int_{-\infty}^\infty e^{-ix^2}dx = \sqrt{\frac{\pi}{i}}$

Help finding k. Issue with integration

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