List questions from improper-integrals

Published on 03 Sep 2018 - 9:58

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How to do Fresnel Integration using Complex Analysis?

Published on 25 Mar 2026 - 11:08

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A term for functions whose integral over $\mathbb{R}$ is finite

Published on 29 Mar 2026 - 6:54

172

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Evaluating the integral $\int_0^{\infty}\frac{x^3}{x^2+a^2}\,\mathrm{d}x$

Published on 09 Sep 2018 - 8:42

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Improper Integration $\int_{0}^\infty\frac{\ln(x\pi^x)\,dx}{x}$ converges or not.

Published on 09 Sep 2018 - 8:48

151

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Why is $\frac{d}{dx}\int^\infty_{-\infty}f(x) dx=0$?

Published on 09 Sep 2018 - 9:23

108

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How to prove $\int_0^\infty e^{-x}\ln^n \frac{1}{x}dx<n!$?

Published on 09 Sep 2018 - 13:39

107

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Properties of the differential entropy of Hermite functions

Published on 25 Mar 2026 - 0:07

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integrate$ \int_{0}^{\pi}\tan(x)\,dx$

Published on 10 Sep 2018 - 2:47

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Convergence of $\int_{2}^{\infty }\frac{1}{x*\ln ^2x}dx $ equals $\frac{1}{\ln 2}$. Why?

Published on 11 Sep 2018 - 17:23

350

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Why isn't $\int\limits_0^{\pi/2}\tan(2x)\ dx$ equal to zero?

Published on 12 Sep 2018 - 21:09

708

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Improper Integral using Laplace

Published on 27 Mar 2026 - 10:16

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Why does $\int_{-\infty}^{\infty} |x-b|f(x)dx=\int_{-\infty}^b(b-x)f(x)dx+\int_{b}^{\infty}(x-b)f(x)dx$?

Published on 25 Mar 2026 - 7:44

85

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Notation for summation

Published on 19 Sep 2018 - 15:38

485

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Evaluating $\int_{0}^{\infty} \mathrm{erfc}(ax)\exp(bx^2+cx)dx$

Published on 26 Mar 2026 - 9:49

List Question

(Parameter Choice) Using Differentiation under integral for $e^{-x^2}$

How to do Fresnel Integration using Complex Analysis?

A term for functions whose integral over $\mathbb{R}$ is finite

Evaluating the integral $\int_0^{\infty}\frac{x^3}{x^2+a^2}\,\mathrm{d}x$

Improper Integration $\int_{0}^\infty\frac{\ln(x\pi^x)\,dx}{x}$ converges or not.

Why is $\frac{d}{dx}\int^\infty_{-\infty}f(x) dx=0$?

How to prove $\int_0^\infty e^{-x}\ln^n \frac{1}{x}dx<n!$?

Properties of the differential entropy of Hermite functions

integrate$ \int_{0}^{\pi}\tan(x)\,dx$

Convergence of $\int_{2}^{\infty }\frac{1}{x*\ln ^2x}dx $ equals $\frac{1}{\ln 2}$. Why?

Why isn't $\int\limits_0^{\pi/2}\tan(2x)\ dx$ equal to zero?

Improper Integral using Laplace

Why does $\int_{-\infty}^{\infty} |x-b|f(x)dx=\int_{-\infty}^b(b-x)f(x)dx+\int_{b}^{\infty}(x-b)f(x)dx$?

Notation for summation

Evaluating $\int_{0}^{\infty} \mathrm{erfc}(ax)\exp(bx^2+cx)dx$

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