List questions from improper-integrals

Published on 24 Mar 2026 - 23:59

346

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How can an improper integral have multiple values?

Published on 25 Mar 2026 - 7:47

315

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Compute $\int_0^\infty \frac{e^{-tx}\sin(x)}{x}dx$

Published on 08 Jun 2014 - 10:05

249

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Value of $\int ^\infty_0 \frac{b\sin{ax} - a\sin{bx}}{x}dx$?

Published on 08 Jun 2014 - 13:50

194

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How to find this improper integral? $\int_{0}^{\pi}{\frac{\sin{x}}{\sqrt{x}}dx}$

Published on 08 Jun 2014 - 15:27

155

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Stuck on solving improper integral $\int_{0}^{1} \frac{\log(1+3x^2)}{x^2} dx$

Published on 08 Jun 2014 - 15:56

93

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Compute the value of the integral $\int ^{\infty}_0 \frac{1}{1+2ax+x^2} dx $

Published on 09 Jun 2014 - 9:59

116

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Evaluate logrithmic integral

Published on 10 Jun 2014 - 9:42

136

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Evaluate integral

Published on 10 Jun 2014 - 11:11

2.3k

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$\int_0^{+\infty}{ \sin{(ax)} \sin{(bx)}}dx=?$

Published on 10 Jun 2014 - 13:18

335

Views

How to prove that integral of function is convergent

Published on 10 Jun 2014 - 15:42

86

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Give an example of $f$ that is $C^\infty$, $\int_0^\infty f(t)dt$ converges but $f$ does not converge.

Published on 10 Jun 2014 - 18:30

53

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Would like to compute the limit of some integral sequence

Published on 10 Jun 2014 - 19:44

186

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Question about $\frac{\sin(x)}{x}$ and $\frac{\cos(x)}{x}$

Published on 10 Jun 2014 - 20:33

9.8k

Views

Integral of $ \int_{-\infty}^\infty \cos (\pi t) dt$

Published on 11 Jun 2014 - 1:23

List Question

Is this function square-integrable? Able to be Fourier expanded?

How can an improper integral have multiple values?

Compute $\int_0^\infty \frac{e^{-tx}\sin(x)}{x}dx$

Value of $\int ^\infty_0 \frac{b\sin{ax} - a\sin{bx}}{x}dx$?

How to find this improper integral? $\int_{0}^{\pi}{\frac{\sin{x}}{\sqrt{x}}dx}$

Stuck on solving improper integral $\int_{0}^{1} \frac{\log(1+3x^2)}{x^2} dx$

Compute the value of the integral $\int ^{\infty}_0 \frac{1}{1+2ax+x^2} dx $

Evaluate logrithmic integral

Evaluate integral

$\int_0^{+\infty}{ \sin{(ax)} \sin{(bx)}}dx=?$

How to prove that integral of function is convergent

Give an example of $f$ that is $C^\infty$, $\int_0^\infty f(t)dt$ converges but $f$ does not converge.

Would like to compute the limit of some integral sequence

Question about $\frac{\sin(x)}{x}$ and $\frac{\cos(x)}{x}$

Integral of $ \int_{-\infty}^\infty \cos (\pi t) dt$

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