List questions from improper-integrals

Published on 16 Apr 2026 - 8:37

67

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Integration by parts problem related to integral form of Euler constant

Published on 15 Apr 2026 - 6:28

182

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How to integrate: $\int_0^{\infty} \frac{1}{x^3+x^2+x+1}dx$

Published on 15 Apr 2026 - 19:35

213

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Improper integral $\int _{-\infty}^1 \arctan(e^x)\,\mathrm dx$

Published on 16 Apr 2026 - 12:09

812

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Methodologies to Evaluate $\lim_{L\to \infty}\int_0^\infty \frac{\sin(Lx)}{x}\cos(x^3/3)\,dx$

Published on 16 Apr 2026 - 6:42

159

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Bounding or evaluating an integral limit

Published on 12 Apr 2026 - 8:49

62

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Convergence of $\int\limits^0_{-\infty} e^{i a t + b t} dt$

Published on 17 Apr 2026 - 9:41

123

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Integrate $\int_0^1\frac{\text{sech}^{-1}(x)(1-2x^2)}{1+4x^4}dx.$

Published on 16 Apr 2026 - 21:41

1.8k

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How to solve this integral using Gamma Functions

Published on 11 Apr 2026 - 1:07

151

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About the integrals $\int_{0}^{+\infty}\sin(x)^k e^{-x}dx$

Published on 15 Apr 2026 - 8:07

280

Views

Improper Integral Involving A Probable Partial Fraction Conversion

Published on 08 Apr 2026 - 21:42

274

Views

Improper integral $\int_{0}^{\infty} \frac{x}{e^{x}-1} \ dx$

Published on 15 Apr 2026 - 23:27

86

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Convergence of $\int_{0}^{\infty }{\frac{e^{-x}-e^{-2x}}{x}}dx $

Published on 16 Apr 2026 - 21:57

459

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Improper Integral Involving Logarithmic Function

Published on 10 Apr 2026 - 0:26

116

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On $\int_0^1\frac{1}{x}\operatorname{frac}\left(\frac{1}{\operatorname{gd}(x)}\right)dx$, where $\operatorname{gd}(x)$ is the Gudermannian function

Published on 28 Mar 2026 - 15:21

List Question

Integral $\int_{0}^{\infty}x^{-x}dx$

Integration by parts problem related to integral form of Euler constant

How to integrate: $\int_0^{\infty} \frac{1}{x^3+x^2+x+1}dx$

Improper integral $\int _{-\infty}^1 \arctan(e^x)\,\mathrm dx$

Methodologies to Evaluate $\lim_{L\to \infty}\int_0^\infty \frac{\sin(Lx)}{x}\cos(x^3/3)\,dx$

Bounding or evaluating an integral limit

Convergence of $\int\limits^0_{-\infty} e^{i a t + b t} dt$

Integrate $\int_0^1\frac{\text{sech}^{-1}(x)(1-2x^2)}{1+4x^4}dx.$

How to solve this integral using Gamma Functions

About the integrals $\int_{0}^{+\infty}\sin(x)^k e^{-x}dx$

Improper Integral Involving A Probable Partial Fraction Conversion

Improper integral $\int_{0}^{\infty} \frac{x}{e^{x}-1} \ dx$

Convergence of $\int_{0}^{\infty }{\frac{e^{-x}-e^{-2x}}{x}}dx $

Improper Integral Involving Logarithmic Function

On $\int_0^1\frac{1}{x}\operatorname{frac}\left(\frac{1}{\operatorname{gd}(x)}\right)dx$, where $\operatorname{gd}(x)$ is the Gudermannian function

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