Question

Asymptotic form of the integral $\int_{0}^{\infty} dx ~ \sqrt{x^2 + wx} ~ e^{-ixs}$ for $s \to \infty$

score 327 · Answer 1 · 2026-04-15 18:55:05

327

Views

Asymptotic form of the integral $\int_{0}^{\infty} dx ~ \sqrt{x^2 + wx} ~ e^{-ixs}$ for $s \to \infty$

Published on 15 Apr 2026 - 18:55

score 222 · Answer 2 · 2026-04-14 01:52:52

222

Views

How do I show that as $z \to \infty$ that $\int_0^\infty \frac{t - \lfloor t \rfloor - 1/2}{z + t} dt = O(z^{-1} )$??

Published on 14 Apr 2026 - 1:52

score 127 · Answer 3 · 2026-04-15 02:35:49

127

Views

Compute an integral explicit (or explicit upperbound? Possible?)

Published on 15 Apr 2026 - 2:35

score 177 · Answer 4 · 2026-04-17 02:42:11

177

Views

Prove $\int_0^b \left(\int_{0}^\infty f \,dy\right) dx= \int_0^\infty \left(\int_{0}^b f \,dx\right) dy$

Published on 17 Apr 2026 - 2:42

score 185 · Answer 5 · 2026-04-16 08:32:50

185

Views

Improper integral: $\,\frac{1}{\pi}\int^\infty_0 \frac{\sqrt{x}}{1+x}e^{-xt}\,dx$

Published on 16 Apr 2026 - 8:32

score 243 · Answer 6 · 2026-04-17 13:13:31

243

Views

Why does not $\int_{-\infty}^\infty x\,\mathrm{d}x$ converge?

Published on 17 Apr 2026 - 13:13

score 94 · Answer 7 · 2026-04-16 17:08:54

94

Views

Convergence of an integral $\int_0^\infty\frac{dt}{1+t^\alpha\sin^2(t)}$

Published on 16 Apr 2026 - 17:08

score 177 · Answer 8 · 2026-04-15 16:44:27

177

Views

Convergence of $\int^\infty_0 \frac{e^{-\sqrt x}}{1+x}dx $

Published on 15 Apr 2026 - 16:44

score 1.1k · Answer 9 · 2026-04-15 03:01:53

1.1k

Views

Computing with Lebesgue integrals

Published on 15 Apr 2026 - 3:01

score 95 · Answer 10 · 2026-04-14 00:50:57

95

Views

Convergence of $\sum_{n=1}^{\infty} \int_n^{n+1} e^{- \sqrt x} dx$

Published on 14 Apr 2026 - 0:50

score 164 · Answer 11 · 2026-04-14 14:12:16

164

Views

Simple proof for a continuous-time linear system and impulse $\delta$?

Published on 14 Apr 2026 - 14:12

score 60 · Answer 12 · 2026-04-08 22:03:15

60

Views

Differentiating an Integral

Published on 08 Apr 2026 - 22:03

score 112 · Answer 13 · 2026-04-15 07:16:35

112

Views

How to show $\int_0^\infty\frac{dx}{x\sqrt{1-x^2}}=\pi/2$

Published on 15 Apr 2026 - 7:16

score 378 · Answer 14 · 2026-04-26 12:05:13

378

Views

Unusual integral

Published on 26 Apr 2026 - 12:05

score 122 · Answer 15 · 2026-04-13 16:49:24

122

Views

Improper integral calculation - limit at infinity

Published on 13 Apr 2026 - 16:49

List Question

Asymptotic form of the integral $\int_{0}^{\infty} dx ~ \sqrt{x^2 + wx} ~ e^{-ixs}$ for $s \to \infty$

How do I show that as $z \to \infty$ that $\int_0^\infty \frac{t - \lfloor t \rfloor - 1/2}{z + t} dt = O(z^{-1} )$??

Compute an integral explicit (or explicit upperbound? Possible?)

Prove $\int_0^b \left(\int_{0}^\infty f \,dy\right) dx= \int_0^\infty \left(\int_{0}^b f \,dx\right) dy$

Improper integral: $\,\frac{1}{\pi}\int^\infty_0 \frac{\sqrt{x}}{1+x}e^{-xt}\,dx$

Why does not $\int_{-\infty}^\infty x\,\mathrm{d}x$ converge?

Convergence of an integral $\int_0^\infty\frac{dt}{1+t^\alpha\sin^2(t)}$

Convergence of $\int^\infty_0 \frac{e^{-\sqrt x}}{1+x}dx $

Computing with Lebesgue integrals

Convergence of $\sum_{n=1}^{\infty} \int_n^{n+1} e^{- \sqrt x} dx$

Simple proof for a continuous-time linear system and impulse $\delta$?

Differentiating an Integral

How to show $\int_0^\infty\frac{dx}{x\sqrt{1-x^2}}=\pi/2$

Unusual integral

Improper integral calculation - limit at infinity

Trending Questions

Popular # Hahtags

Popular Questions