List questions from improper-integrals

Published on 25 Mar 2026 - 19:06

70

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Understanding the double integral $\int_0^\infty\int_0^t f(x)g(t-x)dxdt$

Published on 23 Jul 2020 - 15:37

523

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Challenging problem: Find $a$ where $\int_0^\infty \frac{\cos(ax)\ln(1+x^2)}{\sqrt{1+x^2}}dx=0$.

Published on 24 Jul 2020 - 15:49

498

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How can I study the convergence of the improper integral $\int_{0}^{ \infty} \frac{\sin(x)}{x+1} \, \mathrm dx\,$?

Published on 24 Jul 2020 - 21:02

177

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What is the valus of this integral?

Published on 24 Jul 2020 - 22:06

1.3k

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Why are the limits of integration set as they are for the Laplace Transform?

Published on 02 Apr 2026 - 12:12

143

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Numerical quadrature for an improper multiple integral

Published on 25 Mar 2026 - 4:37

673

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What is value of this integral? $\int_{0}^{\infty}\frac{\log(1+4x^2)(1+9x^2)(9+x^2)+(9+x^2)\log(4+x^2)(10+10x^2)}{(9+x^2)^{2}(1+9x^{2})}dx$

Published on 25 Jul 2020 - 11:50

125

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applications of residue theorem

Published on 06 Apr 2026 - 14:37

166

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How to approach $\int_{0}^{\infty} \frac{x^{r-1}}{1+x^s} \,dx$

Published on 25 Jul 2020 - 18:59

214

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Evaluating $\int _0^1\frac{\ln \left(x^3+1\right)}{x+1}\:dx$

Published on 26 Jul 2020 - 5:26

187

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calculate $\int_{0}^{\infty}\log^n(x)\log(1+\frac{b^{2}}{x^{2}})dx=? (n\in N^* , b\geq2)$

Published on 26 Jul 2020 - 10:51

52

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Integral when solving ordinary differential equation

Published on 26 Jul 2020 - 19:11

84

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Can the value of this integration be found?$\int_{0}^{1}\frac{1}{\sum_{k=1}^{k=n}\sqrt{x+k}}dx$

Published on 26 Jul 2020 - 22:37

152

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Show an integral is independent of a parameter

Published on 08 Apr 2026 - 13:41

List Question

Integral of a product of Bessel functions of the first kind

Understanding the double integral $\int_0^\infty\int_0^t f(x)g(t-x)dxdt$

Challenging problem: Find $a$ where $\int_0^\infty \frac{\cos(ax)\ln(1+x^2)}{\sqrt{1+x^2}}dx=0$.

How can I study the convergence of the improper integral $\int_{0}^{ \infty} \frac{\sin(x)}{x+1} \, \mathrm dx\,$?

What is the valus of this integral?

Why are the limits of integration set as they are for the Laplace Transform?

Numerical quadrature for an improper multiple integral

What is value of this integral? $\int_{0}^{\infty}\frac{\log(1+4x^2)(1+9x^2)(9+x^2)+(9+x^2)\log(4+x^2)(10+10x^2)}{(9+x^2)^{2}(1+9x^{2})}dx$

applications of residue theorem

How to approach $\int_{0}^{\infty} \frac{x^{r-1}}{1+x^s} \,dx$

Evaluating $\int _0^1\frac{\ln \left(x^3+1\right)}{x+1}\:dx$

calculate $\int_{0}^{\infty}\log^n(x)\log(1+\frac{b^{2}}{x^{2}})dx=? (n\in N^* , b\geq2)$

Integral when solving ordinary differential equation

Can the value of this integration be found?$\int_{0}^{1}\frac{1}{\sum_{k=1}^{k=n}\sqrt{x+k}}dx$

Show an integral is independent of a parameter

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