List questions from improper-integrals

Published on 16 Apr 2026 - 14:07

55

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First order approximation of $F(x)=\int_0^x f(t) dt$ in the neighbourhood of $\infty$

Published on 15 Apr 2026 - 10:15

54

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explain the solution and/or suggest a different one

Published on 17 Apr 2026 - 7:49

103

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Show that $ \int_{-\infty}^{\infty} \frac{x^3}{(x^2+4)(x^2+1)}\, dx$ does not converge

Published on 15 Apr 2026 - 9:05

2.1k

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Infinite Integral of a Bessel Function

Published on 13 Apr 2026 - 0:23

102

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Improper integral and lower Riemann sums

Published on 16 Apr 2026 - 7:34

2.6k

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Proof $\operatorname B(x,y)=\frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)}$

Published on 27 Mar 2026 - 10:47

89

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Evaluate $\int_{x=0}^{\infty}\left(\frac{1}{\sqrt{x}}(1-e^{-x})\right)^{M-1}e^{-x}(1+sx)^{-N}dx,$

Published on 18 Apr 2026 - 15:28

702

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Computing $\int_{0}^1 \frac{\left( (1-x )a +x b\right)^2}{(1-x)c +x d} dx$

Published on 17 Apr 2026 - 11:48

1.7k

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The Laplace transform of $\exp(t^2)$

Published on 14 Apr 2026 - 22:56

30

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convergence of $\int_{x=0}^{\infty}x^{-\frac{M-1}{2}-N}(1-e^{-x})^{M-1}e^{-x}dx$

Published on 17 Apr 2026 - 4:26

158

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Limits that occur in integrals during Feynmann integration

Published on 12 Apr 2026 - 18:11

940

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Proving Integral Test?

Published on 10 Apr 2026 - 9:36

517

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How to find the value of this integral?

Published on 11 Apr 2026 - 18:39

603

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Does such divergent integral assume the same values for any regularization?

Published on 18 Apr 2026 - 14:25

List Question

How to compute $\int_{-1}^{1} e^{-1/(1-x^2)}dx$?

First order approximation of $F(x)=\int_0^x f(t) dt$ in the neighbourhood of $\infty$

explain the solution and/or suggest a different one

Show that $ \int_{-\infty}^{\infty} \frac{x^3}{(x^2+4)(x^2+1)}\, dx$ does not converge

Infinite Integral of a Bessel Function

Improper integral and lower Riemann sums

Proof $\operatorname B(x,y)=\frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)}$

Evaluate $\int_{x=0}^{\infty}\left(\frac{1}{\sqrt{x}}(1-e^{-x})\right)^{M-1}e^{-x}(1+sx)^{-N}dx,$

Computing $\int_{0}^1 \frac{\left( (1-x )a +x b\right)^2}{(1-x)c +x d} dx$

The Laplace transform of $\exp(t^2)$

convergence of $\int_{x=0}^{\infty}x^{-\frac{M-1}{2}-N}(1-e^{-x})^{M-1}e^{-x}dx$

Limits that occur in integrals during Feynmann integration

Proving Integral Test?

How to find the value of this integral?

Does such divergent integral assume the same values for any regularization?

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