Question

How can I determine whether $\int _{ 1 }^{ \infty }{ \frac { 1+\sin ^{ 2 }{ (x) } }{ \sqrt { x } } dx } $ is convergent or divergent?

score 3k · Answer 1 · 2016-09-29 10:07:49

How can I determine whether $\int _{ 1 }^{ \infty }{ \frac { 1+\sin ^{ 2 }{ (x) } }{ \sqrt { x } } dx } $ is convergent or divergent?

score 60 · Answer 2 · 2016-09-29 19:18:10

60

Views

Prove that $\int _0^{\infty }\frac{xe^{-x^2}}{x+2}dx\:$ converges without finding the value or using dirichlet test

Published on 29 Sep 2016 - 19:18

score 1.4k · Answer 3 · 2026-04-11 07:39:33

1.4k

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Gamma function, finding proper substitution for integral

Published on 11 Apr 2026 - 7:39

score 218 · Answer 4 · 2026-04-02 04:35:05

218

Views

Approximating the asymptotic behavior of an improper integral

Published on 02 Apr 2026 - 4:35

score 528 · Answer 5 · 2026-04-11 03:30:15

528

Views

Understanding Stein's proof for Fubini's Theorem on functions of moderate decrease

Published on 11 Apr 2026 - 3:30

score 84 · Answer 6 · 2026-03-29 16:00:53

84

Views

Under which conditions $\int_0^\infty q^{1-k} J_{2m+k} (q) J_\nu (qr) \, \mathrm{d} q $ vanishes if $r>1$?

Published on 29 Mar 2026 - 16:00

score 300 · Answer 7 · 2026-04-04 15:28:50

300

Views

Question about a step in Stein's proof that the Fourier transform of $-2\pi ixf(x)$ is $\frac{d}{d\xi} \hat{f}(\xi)$.

Published on 04 Apr 2026 - 15:28

score 118 · Answer 8 · 2026-04-09 09:49:25

118

Views

How to solve dual integral equations with a linear kernel function?

Published on 09 Apr 2026 - 9:49

score 84 · Answer 9 · 2016-10-04 18:43:57

84

Views

A counterexample to $\lim$ and $\int$ interversion

Published on 04 Oct 2016 - 18:43

score 208 · Answer 10 · 2026-04-10 02:35:31

208

Views

Finding a Riemann Sum expression for an improper integral

Published on 10 Apr 2026 - 2:35

score 267 · Answer 11 · 2026-03-28 20:03:30

267

Views

Improper integral and hypergeometric function

Published on 28 Mar 2026 - 20:03

score 507 · Answer 12 · 2026-03-25 19:12:05

507

Views

Is there a way to compute $\int_0^\infty \frac{\cos (qt) J_1 (qr)}{1+q^2} \, \mathrm{d} q$ provided that $0<t<r$?

Published on 25 Mar 2026 - 19:12

score 104 · Answer 13 · 2016-10-06 19:49:20

104

Views

Rewrite integral $S = \int^\infty_1 \frac{1}{1+x^2}dx$ using $x = tan(t)$

Published on 06 Oct 2016 - 19:49

score 189 · Answer 14 · 2016-10-07 08:38:34

189

Views

$\frac{1}{\pi} \int_{-\infty}^{\infty} \frac{y}{(x-\xi )^{2} + y^{2}} g(\xi ) d\xi$ when $y \downarrow 0$

Published on 07 Oct 2016 - 8:38

score 71 · Answer 15 · 2016-10-07 15:07:53

71

Views

behavior of function at infinite

Published on 07 Oct 2016 - 15:07

List Question

How can I determine whether $\int _{ 1 }^{ \infty }{ \frac { 1+\sin ^{ 2 }{ (x) } }{ \sqrt { x } } dx } $ is convergent or divergent?

Prove that $\int _0^{\infty }\frac{xe^{-x^2}}{x+2}dx\:$ converges without finding the value or using dirichlet test

Gamma function, finding proper substitution for integral

Approximating the asymptotic behavior of an improper integral

Understanding Stein's proof for Fubini's Theorem on functions of moderate decrease

Under which conditions $\int_0^\infty q^{1-k} J_{2m+k} (q) J_\nu (qr) \, \mathrm{d} q $ vanishes if $r>1$?

Question about a step in Stein's proof that the Fourier transform of $-2\pi ixf(x)$ is $\frac{d}{d\xi} \hat{f}(\xi)$.

How to solve dual integral equations with a linear kernel function?

A counterexample to $\lim$ and $\int$ interversion

Finding a Riemann Sum expression for an improper integral

Improper integral and hypergeometric function

Is there a way to compute $\int_0^\infty \frac{\cos (qt) J_1 (qr)}{1+q^2} \, \mathrm{d} q$ provided that $0<t<r$?

Rewrite integral $S = \int^\infty_1 \frac{1}{1+x^2}dx$ using $x = tan(t)$

$\frac{1}{\pi} \int_{-\infty}^{\infty} \frac{y}{(x-\xi )^{2} + y^{2}} g(\xi ) d\xi$ when $y \downarrow 0$

behavior of function at infinite

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