List questions from improper-integrals

Published on 10 Apr 2026 - 6:35

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Dropping the "positive" and "decreasing" conditions in the integral test

Published on 10 Apr 2026 - 6:48

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Can the area enclosed by two curves be infinite?

Published on 30 Mar 2026 - 0:58

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Evaluate the limit: $\lim_{\epsilon \to 0} {{1}/{\epsilon}}\int_{-\infty}^{\infty} \rho(x/ \epsilon)f(x)dx$

Published on 28 Nov 2016 - 5:43

355

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Why does $\int_{-\infty}^\infty x \ dx$ not converge?

Published on 30 Nov 2016 - 16:31

249

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Evaluate the integral $ \int_{0}^{\infty}\frac{\sin(x^{2})x^{2}\ln(x)}{e^{x^2}-1}dx $

Published on 28 Mar 2026 - 12:02

178

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The shift of an integral variable whch is related with infinity

Published on 02 Dec 2016 - 8:49

139

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Integral $I=\int_{0}^{+∞}\frac{{e^{-tx} }}{x}(\cos ax-\cos bx)\,\mathrm{d}x $

Published on 03 Dec 2016 - 17:18

323

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Integral evaluation $\int_{-\infty}^{\infty} \frac{cos (ax)}{x^2+x+1} dx$ - not able to evaluate residue

Published on 01 Apr 2026 - 0:11

197

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How to show that the gaussians are an approximation of the identity?

Published on 11 Apr 2026 - 13:07

356

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How do I compute the limit of this integral: $\lim_{n\to\infty}\int_{0}^{\infty}\frac{\sin(\frac{x}{n})}{(1+\frac{x}{n})^{n}}dx$?

Published on 08 Apr 2026 - 16:10

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Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$

Published on 06 Dec 2016 - 9:36

990

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Uniform and absolute convergence of improper integral

Published on 07 Apr 2026 - 11:24

72

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Is there any close form solution possible for the following integral?

Published on 11 Apr 2026 - 14:49

226

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On the Apéry's constant and Euler-Mascheroni constant, Meijer G-Function and a hypergeometric

Published on 03 Apr 2026 - 0:00

List Question

Convergence of norm integral in R^4

Dropping the "positive" and "decreasing" conditions in the integral test

Can the area enclosed by two curves be infinite?

Evaluate the limit: $\lim_{\epsilon \to 0} {{1}/{\epsilon}}\int_{-\infty}^{\infty} \rho(x/ \epsilon)f(x)dx$

Why does $\int_{-\infty}^\infty x \ dx$ not converge?

Evaluate the integral $ \int_{0}^{\infty}\frac{\sin(x^{2})x^{2}\ln(x)}{e^{x^2}-1}dx $

The shift of an integral variable whch is related with infinity

Integral $I=\int_{0}^{+∞}\frac{{e^{-tx} }}{x}(\cos ax-\cos bx)\,\mathrm{d}x $

Integral evaluation $\int_{-\infty}^{\infty} \frac{cos (ax)}{x^2+x+1} dx$ - not able to evaluate residue

How to show that the gaussians are an approximation of the identity?

How do I compute the limit of this integral: $\lim_{n\to\infty}\int_{0}^{\infty}\frac{\sin(\frac{x}{n})}{(1+\frac{x}{n})^{n}}dx$?

Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$

Uniform and absolute convergence of improper integral

Is there any close form solution possible for the following integral?

On the Apéry's constant and Euler-Mascheroni constant, Meijer G-Function and a hypergeometric

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