List questions from improper-integrals

Published on 13 Apr 2026 - 19:24

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Continuity of a function defined by an integral

Published on 08 Apr 2026 - 16:14

647

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Applications of the Residue Theorem to the Evaluation of Integrals and Sums

Published on 18 Apr 2026 - 15:18

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Laplace transform of $t^2e^{at}$??

Published on 17 Apr 2026 - 8:47

151

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Does this integral converge $\int_{-\infty}^{\infty} \frac{e^{-x}}{1+x^2}\,dx$

Published on 16 Apr 2026 - 12:44

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Question on Convergence of Improper integrals

Published on 12 Apr 2026 - 13:23

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Convergence of $\int_{0}^{\infty} \frac{e^{-x}-1}{x^p} dx$

Published on 17 Apr 2026 - 15:56

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Integral $\int_0^\infty\frac{\ln\left(1+x+\sqrt{x^2+2\,x}\right)\,\ln\left(1+\sqrt{x^2+2\,x+2}\right)}{x^2+2x+1}dx$

Published on 18 Apr 2026 - 5:12

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Integral $\int_0^\infty\frac{\ln\left(\sqrt{x+1\vphantom{x^0}}-1\right)\,\ln\left(\sqrt{x^{-1}+1}+1\right)}{(x+1)^{3/2}}dx$

Published on 17 Apr 2026 - 12:55

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Integral of a function

Published on 11 Apr 2026 - 8:29

718

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Need help with $\int_0^\infty e^{-x}\ln\ln\left(e^x+\sqrt{e^{2x}-1}\right)\,dx$

Published on 16 Apr 2026 - 9:37

47

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parametric integral and asymptotic representation

Published on 12 Apr 2026 - 22:04

1.7k

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Integrate: $ \int_0^\infty \frac{\log(x)}{(1+x^2)^2} \, dx $ without using complex analysis methods

Published on 15 Apr 2026 - 4:32

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Integral $\int_0^\infty x^2\,e^{-x^2}\operatorname{erf}(x)\,\log(x)\,dx$

Published on 17 Apr 2026 - 10:57

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Closed form for this integral $\int_{0}^{\infty}\frac{dx}{\sqrt{x}}\, e^{-x^{2}-\frac{b^{2}}{x}}$

Published on 16 Apr 2026 - 7:44

List Question

Asymptotics of the logarithmic integral

Continuity of a function defined by an integral

Applications of the Residue Theorem to the Evaluation of Integrals and Sums

Laplace transform of $t^2e^{at}$??

Does this integral converge $\int_{-\infty}^{\infty} \frac{e^{-x}}{1+x^2}\,dx$

Question on Convergence of Improper integrals

Convergence of $\int_{0}^{\infty} \frac{e^{-x}-1}{x^p} dx$

Integral $\int_0^\infty\frac{\ln\left(1+x+\sqrt{x^2+2\,x}\right)\,\ln\left(1+\sqrt{x^2+2\,x+2}\right)}{x^2+2x+1}dx$

Integral $\int_0^\infty\frac{\ln\left(\sqrt{x+1\vphantom{x^0}}-1\right)\,\ln\left(\sqrt{x^{-1}+1}+1\right)}{(x+1)^{3/2}}dx$

Integral of a function

Need help with $\int_0^\infty e^{-x}\ln\ln\left(e^x+\sqrt{e^{2x}-1}\right)\,dx$

parametric integral and asymptotic representation

Integrate: $ \int_0^\infty \frac{\log(x)}{(1+x^2)^2} \, dx $ without using complex analysis methods

Integral $\int_0^\infty x^2\,e^{-x^2}\operatorname{erf}(x)\,\log(x)\,dx$

Closed form for this integral $\int_{0}^{\infty}\frac{dx}{\sqrt{x}}\, e^{-x^{2}-\frac{b^{2}}{x}}$

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