List questions from improper-integrals

Published on 11 Apr 2026 - 3:56

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Determining whether an improper integral is convergent or divergent.

Published on 15 Apr 2026 - 17:36

220

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Excluding a point in double integral

Published on 13 Apr 2026 - 14:37

442

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Abel's Integral $\int_{0}^{\infty} \frac{x}{\sinh(\pi x)(1+x^2)} \,dx$

Published on 16 Apr 2026 - 9:51

189

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Parametric integrals

Published on 11 Apr 2026 - 22:08

615

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Complex Integration - $\int_{-\infty}^{\infty} \frac{x-1}{x^5-1} dx$

Published on 23 Apr 2026 - 11:17

280

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Trigonometric Improper Integral - $\int_{-\infty}^{\infty} \frac{x\sin ax}{x^2+1}dx$

Published on 23 Apr 2026 - 11:15

282

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Prove that the improper integral converges

Published on 16 Apr 2026 - 12:18

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how to compute $E(X^4)$ when $X$ follow the normal law $N(0,1)$

Published on 15 Apr 2026 - 20:56

54

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Is the function $(d(x,\partial\Omega))^{-\gamma}$ in $L^p(\Omega)$ for $\gamma$ small enough?

Published on 25 Mar 2026 - 11:54

135

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Convergence of $\int_e^\infty \frac{\ln x\cdot \cos x^2}{(x+1)^{\frac{3}{2}}}$

Published on 17 Apr 2026 - 1:15

145

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The series $\sum_{k=1}^\infty\sum_{n=1}^k k^{-3}/(2n-1)$

Published on 14 Apr 2026 - 11:56

1.1k

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How to solve this integral with dirac delta functions?

Published on 09 Apr 2026 - 6:02

343

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show that $\lim_{n \to \infty} n\int_0^1 e^{-tn}(\frac{\sinh t}{t})^n \, dt=1$

Published on 15 Apr 2026 - 8:13

558

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How to integrate with a sum in the numerator and denominator.

Published on 11 Apr 2026 - 15:11

List Question

A curious integral

Determining whether an improper integral is convergent or divergent.

Excluding a point in double integral

Abel's Integral $\int_{0}^{\infty} \frac{x}{\sinh(\pi x)(1+x^2)} \,dx$

Parametric integrals

Complex Integration - $\int_{-\infty}^{\infty} \frac{x-1}{x^5-1} dx$

Trigonometric Improper Integral - $\int_{-\infty}^{\infty} \frac{x\sin ax}{x^2+1}dx$

Prove that the improper integral converges

how to compute $E(X^4)$ when $X$ follow the normal law $N(0,1)$

Is the function $(d(x,\partial\Omega))^{-\gamma}$ in $L^p(\Omega)$ for $\gamma$ small enough?

Convergence of $\int_e^\infty \frac{\ln x\cdot \cos x^2}{(x+1)^{\frac{3}{2}}}$

The series $\sum_{k=1}^\infty\sum_{n=1}^k k^{-3}/(2n-1)$

How to solve this integral with dirac delta functions?

show that $\lim_{n \to \infty} n\int_0^1 e^{-tn}(\frac{\sinh t}{t})^n \, dt=1$

How to integrate with a sum in the numerator and denominator.

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