List questions from improper-integrals

Published on 07 Apr 2026 - 18:43

65

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Integration of $\int\frac{1}{\sqrt{x-x^2}}$dx

Published on 30 Mar 2026 - 11:37

145

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Determining whether $\int_{1}^{+\infty}\frac{\sin^3 \left(x\right)}{\sqrt {x^2}}\,\mathrm{d}x $ converges or diverges.

Published on 01 Jun 2020 - 16:02

64

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A step in the proof of the analytic continuation of $ \zeta $

Published on 01 Apr 2026 - 14:46

104

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How to integrate $\int_0^{+\infty}\frac{dx}{\sqrt{(1+x^2)(1+2x^2)}}$

Published on 26 Mar 2026 - 6:21

136

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Is $\int_E \frac{1}{(x^2+y^2)^2}dxdy$ convergent?

Published on 02 Jun 2020 - 11:53

188

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Limit of ratio of incomplete gamma function

Published on 25 Mar 2026 - 22:11

169

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For which values of p,q does the integral ∫10xp(ln1x)qdx converge?

Published on 02 Jun 2020 - 20:14

165

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Upper and lower darboux sum

Published on 27 Mar 2026 - 16:46

25

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Integral of a non-negative continuous function on a closed bounded interval

Published on 27 Mar 2026 - 20:12

102

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Is it possible to find the area under a curve with an infinite number of holes (removable discontinuities)?

Published on 03 Jun 2020 - 20:32

50

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Special function expression for the (truncated) moment of the generalized Gamma distribution

Published on 01 Apr 2026 - 10:23

947

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Closed form of $\int_0^\infty \arctan^2 \left (\frac{2x}{1 + x^2} \right ) \, dx$

Published on 31 Mar 2026 - 9:26

52

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Checking the uniform convergence of sequence of functions

Published on 24 Feb 2026 - 10:17

476

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Can we represent an improper integral as $\int_{-\infty}^{\infty} f(x)\,dx = \lim_{a \to \infty} \int_{-a}^a f(x)\,dx$?

Published on 04 Jun 2020 - 17:22

List Question

Integrability of a function not defined at some points

Integration of $\int\frac{1}{\sqrt{x-x^2}}$dx

Determining whether $\int_{1}^{+\infty}\frac{\sin^3 \left(x\right)}{\sqrt {x^2}}\,\mathrm{d}x $ converges or diverges.

A step in the proof of the analytic continuation of $ \zeta $

How to integrate $\int_0^{+\infty}\frac{dx}{\sqrt{(1+x^2)(1+2x^2)}}$

Is $\int_E \frac{1}{(x^2+y^2)^2}dxdy$ convergent?

Limit of ratio of incomplete gamma function

For which values of p,q does the integral ∫10xp(ln1x)qdx converge?

Upper and lower darboux sum

Integral of a non-negative continuous function on a closed bounded interval

Is it possible to find the area under a curve with an infinite number of holes (removable discontinuities)?

Special function expression for the (truncated) moment of the generalized Gamma distribution

Closed form of $\int_0^\infty \arctan^2 \left (\frac{2x}{1 + x^2} \right ) \, dx$

Checking the uniform convergence of sequence of functions

Can we represent an improper integral as $\int_{-\infty}^{\infty} f(x)\,dx = \lim_{a \to \infty} \int_{-a}^a f(x)\,dx$?

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