List questions from improper-integrals

Published on 30 Mar 2026 - 10:19

109

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Prove that $\exists c>0$ s.t $\sum_{n\geq x}\frac{1}{n^2}\leq \frac{c}{x}$

Published on 27 Mar 2026 - 1:00

65

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Solving a dual integral equations with higher-order Bessel functions

Published on 28 Mar 2026 - 3:00

67

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Evaluating whether a certain integral is convergent/divergent using the comparison theorem.

Published on 22 Sep 2019 - 3:29

112

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Is it possible to have $\int_0^\infty f(x)\,dx$ convergent and $|f|=1$ everywhere?

Published on 24 Sep 2019 - 21:57

125

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Closed form analytical expression for $\int_0^\infty \lambda^{-3} \sin(\lambda t) J_2(\lambda r) \mathrm{d}\lambda$ when $r > t$

Published on 28 Mar 2026 - 4:52

74

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Integrating Improper Integrals

Published on 26 Sep 2019 - 3:16

71

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Definite Integral $\int{x^2+1 \over x^4+1}$

Published on 26 Sep 2019 - 9:23

52

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Function Integration

Published on 29 Mar 2026 - 5:34

30

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Find the constant $C$ for which $f$ is a density function

Published on 28 Sep 2019 - 15:20

306

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Integral of the form $\int_0^\infty \exp{\left(-\frac{(a+bx)^2}{x}\right)}\frac{dx}{\sqrt{x^3}}$

Published on 29 Sep 2019 - 5:17

358

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How to integrate $\int_{0}^{\frac{\pi}{2}}\frac{x\ln{\cos(x)}}{\tan x}dx$?

Published on 30 Sep 2019 - 8:16

121

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Integral $\int_0^\infty \frac{dx}{x^5\left(e^{\frac{a}{x}}-1\right)}$

Published on 01 Oct 2019 - 13:17

48

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Lifetime of pdf disk

Published on 11 Mar 2014 - 23:26

2.9k

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Lifetime of exponential variable of a battery

Published on 29 Mar 2026 - 7:38

List Question

Limit of positive function, bounded with derivative and convergent improper integral

Prove that $\exists c>0$ s.t $\sum_{n\geq x}\frac{1}{n^2}\leq \frac{c}{x}$

Solving a dual integral equations with higher-order Bessel functions

Evaluating whether a certain integral is convergent/divergent using the comparison theorem.

Is it possible to have $\int_0^\infty f(x)\,dx$ convergent and $|f|=1$ everywhere?

Closed form analytical expression for $\int_0^\infty \lambda^{-3} \sin(\lambda t) J_2(\lambda r) \mathrm{d}\lambda$ when $r > t$

Integrating Improper Integrals

Definite Integral $\int{x^2+1 \over x^4+1}$

Function Integration

Find the constant $C$ for which $f$ is a density function

Integral of the form $\int_0^\infty \exp{\left(-\frac{(a+bx)^2}{x}\right)}\frac{dx}{\sqrt{x^3}}$

How to integrate $\int_{0}^{\frac{\pi}{2}}\frac{x\ln{\cos(x)}}{\tan x}dx$?

Integral $\int_0^\infty \frac{dx}{x^5\left(e^{\frac{a}{x}}-1\right)}$

Lifetime of pdf disk

Lifetime of exponential variable of a battery

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