List questions from improper-integrals

Published on 10 Apr 2026 - 15:04

278

Views

Proof or Counterexample for Integral of Function that Goes to Zero Faster than 1/x

Published on 15 Apr 2026 - 13:36

219

Views

Evaluating Definite Integral $\int_0^\infty\frac{x}{e^x-1}dx$

Published on 15 Apr 2026 - 12:56

60

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Why do we break down improper integrals such that they are improper at just one of the limits of integration?

Published on 12 Apr 2026 - 11:58

197

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How to approach proving the limit of $[\cos(x) - 1]$ doesn't exist?

Published on 14 Apr 2026 - 10:26

249

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Does $\int_{-\infty}^{\infty} \sin(t) \,dt $ converge?

Published on 11 Apr 2026 - 8:23

194

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Convergence or Divergence proving: $\int_a^b x\sqrt\frac{x-a}{b-x}dx$

Published on 16 Apr 2026 - 16:08

43

Views

Improper Integral Fourier .1

Published on 12 Apr 2026 - 20:48

299

Views

Does this improper integral converge or is it a trick question?

Published on 11 Apr 2026 - 21:24

38

Views

Improper Integral , Transform Fourier

Published on 12 Apr 2026 - 20:48

117

Views

Problems with a residue when evaluating $\int_{-\infty}^{\infty}\frac{x-\sin x}{x^3(x^2+16)}dx$

Published on 15 Apr 2026 - 19:45

107

Views

Integral limit without using Taylor expansion

Published on 14 Apr 2026 - 6:31

149

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integration with two variables and limits calculation

Published on 10 Apr 2026 - 4:20

213

Views

Probably incorrect method of integration gives the correct result. Why?

Published on 12 Apr 2026 - 20:57

55

Views

Is this a Sobolev function?

Published on 25 Apr 2026 - 16:54

List Question

Is it possible to evaluate analytically the following double integral?

Proof or Counterexample for Integral of Function that Goes to Zero Faster than 1/x

Evaluating Definite Integral $\int_0^\infty\frac{x}{e^x-1}dx$

Why do we break down improper integrals such that they are improper at just one of the limits of integration?

How to approach proving the limit of $[\cos(x) - 1]$ doesn't exist?

Does $\int_{-\infty}^{\infty} \sin(t) \,dt $ converge?

Convergence or Divergence proving: $\int_a^b x\sqrt\frac{x-a}{b-x}dx$

Improper Integral Fourier .1

Does this improper integral converge or is it a trick question?

Improper Integral , Transform Fourier

Problems with a residue when evaluating $\int_{-\infty}^{\infty}\frac{x-\sin x}{x^3(x^2+16)}dx$

Integral limit without using Taylor expansion

integration with two variables and limits calculation

Probably incorrect method of integration gives the correct result. Why?

Is this a Sobolev function?

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