List questions from improper-integrals

Published on 14 Sep 2014 - 18:31

47

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I need to find the formula for h(x) for all x

Published on 14 Sep 2014 - 21:49

271

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When does this integral converge?

Published on 14 Sep 2014 - 22:37

53

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convolution problem given $h(x)=1/2$ for $0<x<2$ and $0$ otherwise

Published on 28 Mar 2026 - 7:43

175

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Improper Integrals

Published on 15 Sep 2014 - 2:27

117

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An integral of Wolstenholme:$\int_0^{+\infty}\frac{\sum_1^n A_k\cos{a_k x}}{x}\mathrm {d} x$ where $\sum A_k=0$ and $a_k>0$

Published on 15 Sep 2014 - 7:53

246

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Is $\int_{-1}^1 \frac{dx}{\sqrt{x^2 - 1}} $ divergent?

Published on 15 Sep 2014 - 22:35

157

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How would you integrate $\sqrt{1+\frac{1}{x^2}}$

Published on 16 Sep 2014 - 8:21

645

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Evaluating $\int_{0}^{\pi/3}\ln^2 \left ( \sin x \right )\,dx$

Published on 16 Sep 2014 - 9:32

266

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Problem 30 of GR8767 how is improper integral defined?

Published on 16 Sep 2014 - 16:33

941

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Integral $\int_0^1\frac{\log(x)\log^2(1-x)\log^2(1+x)}{x}\mathrm dx$

Published on 26 Mar 2026 - 17:35

1k

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Closed form for $\int_1^\infty\frac{\operatorname dx}{\operatorname \Gamma(x)}$

Published on 28 Mar 2026 - 14:44

139

Views

How to find $P(X>x)$ when the density is known but the integral does not seem to converge

Published on 20 Sep 2014 - 3:40

230

Views

parametric integral relating to hyperbolic function

Published on 20 Sep 2014 - 5:34

731

Views

Integrating this improper integral to test for convergence?

Published on 21 Sep 2014 - 0:26

List Question

How to find the derivative of improper integral with variable upper limit?

I need to find the formula for h(x) for all x

When does this integral converge?

convolution problem given $h(x)=1/2$ for $0<x<2$ and $0$ otherwise

Improper Integrals

An integral of Wolstenholme:$\int_0^{+\infty}\frac{\sum_1^n A_k\cos{a_k x}}{x}\mathrm {d} x$ where $\sum A_k=0$ and $a_k>0$

Is $\int_{-1}^1 \frac{dx}{\sqrt{x^2 - 1}} $ divergent?

How would you integrate $\sqrt{1+\frac{1}{x^2}}$

Evaluating $\int_{0}^{\pi/3}\ln^2 \left ( \sin x \right )\,dx$

Problem 30 of GR8767 how is improper integral defined?

Integral $\int_0^1\frac{\log(x)\log^2(1-x)\log^2(1+x)}{x}\mathrm dx$

Closed form for $\int_1^\infty\frac{\operatorname dx}{\operatorname \Gamma(x)}$

How to find $P(X>x)$ when the density is known but the integral does not seem to converge

parametric integral relating to hyperbolic function

Integrating this improper integral to test for convergence?

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