Question

Improper integral and its convergence. Is this procedure correct? Any quicker and simpler ways?

score 70 · Answer 1 · 2017-04-05 07:57:53

70

Views

Improper integral and its convergence. Is this procedure correct? Any quicker and simpler ways?

Published on 05 Apr 2017 - 7:57

score 84 · Answer 2 · 2026-04-08 17:39:48

84

Views

fourier transform calculate

Published on 08 Apr 2026 - 17:39

score 66 · Answer 3 · 2017-04-05 08:51:38

66

Views

Evaluating the Integral $\int_{0}^{\infty} \int_{0}^{\infty} \frac{e^{-(x+y)}}{x+y} dxdy$

Published on 05 Apr 2017 - 8:51

score 881 · Answer 4 · 2026-04-12 19:56:26

881

Views

How to check if this improper integral converges or diverges ?

Published on 12 Apr 2026 - 19:56

score 482 · Answer 5 · 2026-04-13 08:27:05

482

Views

Computing the expectation of $X^n e^{-\lambda X}$

Published on 13 Apr 2026 - 8:27

score 181 · Answer 6 · 2017-04-06 00:22:44

181

Views

How to show that $\int_0^\infty\frac{\ln x}{1+x^2}\mathrm dx=0$?

Published on 06 Apr 2017 - 0:22

score 95 · Answer 7 · 2026-04-05 20:07:57

95

Views

Alternative proof for $\int_0^\infty\sqrt t\cos(t^2)\mathrm dt<\infty$

Published on 05 Apr 2026 - 20:07

score 148 · Answer 8 · 2017-04-06 11:45:01

148

Views

Prove that $\int_a^\infty \sin(f)$ converges

Published on 06 Apr 2017 - 11:45

score 109 · Answer 9 · 2026-04-01 05:05:22

109

Views

Examine the convergence of the improper integral $\int_1^{\infty} f(x) dx$

Published on 01 Apr 2026 - 5:05

score 168 · Answer 10 · 2026-04-12 10:01:21

168

Views

Interesting integral 5

Published on 12 Apr 2026 - 10:01

score 184 · Answer 11 · 2017-04-07 10:14:59

184

Views

Interesting integral 5.1

Published on 07 Apr 2017 - 10:14

score 85 · Answer 12 · 2017-04-07 16:18:30

85

Views

Find an integral $ \int_0^{+\infty} e^{-x^2} \sinh(2ax) d x. $

Published on 07 Apr 2017 - 16:18

score 30 · Answer 13 · 2017-04-07 19:38:52

30

Views

Find $p \in \mathbb{R}$ so that $\int_{0}^{\infty}\frac{x^2+x^{p/4}}{\sqrt{1+x^p}}dx$ converges

Published on 07 Apr 2017 - 19:38

score 40 · Answer 14 · 2026-04-02 19:47:51

40

Views

Calculate $\iint\limits_{\mathbb{R}^2} (x^2+y^2)^p e^{-x^2-y^2} d x d y$.

Published on 02 Apr 2026 - 19:47

score 240 · Answer 15 · 2026-04-07 23:46:49

240

Views

Evaluating analytically the improper integral $ \int_0^\infty \frac{x}{x^2 + \beta^2}\,J_2(\alpha x) \,\mathrm{d}x$ for $\alpha,\beta\in\mathbb{R}_+$

Published on 07 Apr 2026 - 23:46

List Question

Improper integral and its convergence. Is this procedure correct? Any quicker and simpler ways?

fourier transform calculate

Evaluating the Integral $\int_{0}^{\infty} \int_{0}^{\infty} \frac{e^{-(x+y)}}{x+y} dxdy$

How to check if this improper integral converges or diverges ?

Computing the expectation of $X^n e^{-\lambda X}$

How to show that $\int_0^\infty\frac{\ln x}{1+x^2}\mathrm dx=0$?

Alternative proof for $\int_0^\infty\sqrt t\cos(t^2)\mathrm dt<\infty$

Prove that $\int_a^\infty \sin(f)$ converges

Examine the convergence of the improper integral $\int_1^{\infty} f(x) dx$

Interesting integral 5

Interesting integral 5.1

Find an integral $ \int_0^{+\infty} e^{-x^2} \sinh(2ax) d x. $

Find $p \in \mathbb{R}$ so that $\int_{0}^{\infty}\frac{x^2+x^{p/4}}{\sqrt{1+x^p}}dx$ converges

Calculate $\iint\limits_{\mathbb{R}^2} (x^2+y^2)^p e^{-x^2-y^2} d x d y$.

Evaluating analytically the improper integral $ \int_0^\infty \frac{x}{x^2 + \beta^2}\,J_2(\alpha x) \,\mathrm{d}x$ for $\alpha,\beta\in\mathbb{R}_+$

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