Question

I need to compute an asymptotic approximation to this improper integral using the method of stationary phase.

score 50 · Answer 1 · 2026-04-13 21:13:50

50

Views

I need to compute an asymptotic approximation to this improper integral using the method of stationary phase.

Published on 13 Apr 2026 - 21:13

score 214 · Answer 2 · 2026-04-17 14:00:48

214

Views

Solving $\int_0^\infty \frac{\sin x(1-\cos x)}{x^2}dx$

Published on 17 Apr 2026 - 14:00

score 59 · Answer 3 · 2026-04-15 07:35:02

Can you give me an example of function $f$'s improper integral converges but $f\cdot f$'s integral doesn't converge?

score 21 · Answer 4 · 2026-04-11 15:16:07

21

Views

How to solve Improper integrals by contour integration

Published on 11 Apr 2026 - 15:16

score 25 · Answer 5 · 2026-04-11 12:30:04

25

Views

Determining the convergence of improper integral

Published on 11 Apr 2026 - 12:30

score 232 · Answer 6 · 2026-04-15 23:35:09

232

Views

Can we evaluate the integral $ I(a)=\int_0^{\infty} \frac{\sin x}{x^a} e^{-x} d x, $ without Gamma functions?

Published on 15 Apr 2026 - 23:35

score 54 · Answer 7 · 2026-04-14 11:45:11

54

Views

Doubt regarding splitting up the interval of integration

Published on 14 Apr 2026 - 11:45

score 24 · Answer 8 · 2026-04-12 09:06:14

24

Views

Is it possible to determine whether or not an improper integral between two assymptotes will converge or not, without having to find its primitive?

Published on 12 Apr 2026 - 9:06

score 262 · Answer 9 · 2026-04-16 09:08:00

Challenge: $\int_0^\infty\frac1{1+x}\ln\left(\prod_{k=0}^\infty(1+e^{-(2k+1)\sqrt{x}})(1+e^{-(2k+1)\pi^2\sqrt{x}})\right)\,dx=\pi^3/24+\pi/24-\ln^22$

score 146 · Answer 10 · 2026-04-15 19:01:00

146

Views

$\int_{1}^{\infty} xf'(x) \space dx$ converges absolutely. Prove\disprove: $\int_{1}^{\infty} f(\xi) \space d\xi$ converges absolutely.

Published on 15 Apr 2026 - 19:01

score 45 · Answer 11 · 2026-04-13 14:45:25

45

Views

Calculate a limit by Riemann lemma

Published on 13 Apr 2026 - 14:45

score 28 · Answer 12 · 2026-04-09 16:56:45

28

Views

Determining the Convergence of Improper Integral with Given Limit

Published on 09 Apr 2026 - 16:56

score 125 · Answer 13 · 2026-04-12 22:37:23

125

Views

Is there an easy way to calculate this infinite summation

Published on 12 Apr 2026 - 22:37

score 71 · Answer 14 · 2026-04-14 16:06:48

71

Views

Improper Integral of $\sqrt{\tan{x}}dx$

Published on 14 Apr 2026 - 16:06

score 14 · Answer 15 · 2026-04-15 12:29:00

14

Views

For what values of $k$, $t_{0}$, or $x$ is this integral convergent?

Published on 15 Apr 2026 - 12:29

List Question

I need to compute an asymptotic approximation to this improper integral using the method of stationary phase.

Solving $\int_0^\infty \frac{\sin x(1-\cos x)}{x^2}dx$

Can you give me an example of function $f$'s improper integral converges but $f\cdot f$'s integral doesn't converge?

How to solve Improper integrals by contour integration

Determining the convergence of improper integral

Can we evaluate the integral $ I(a)=\int_0^{\infty} \frac{\sin x}{x^a} e^{-x} d x, $ without Gamma functions?

Doubt regarding splitting up the interval of integration

Is it possible to determine whether or not an improper integral between two assymptotes will converge or not, without having to find its primitive?

Challenge: $\int_0^\infty\frac1{1+x}\ln\left(\prod_{k=0}^\infty(1+e^{-(2k+1)\sqrt{x}})(1+e^{-(2k+1)\pi^2\sqrt{x}})\right)\,dx=\pi^3/24+\pi/24-\ln^22$

$\int_{1}^{\infty} xf'(x) \space dx$ converges absolutely. Prove\disprove: $\int_{1}^{\infty} f(\xi) \space d\xi$ converges absolutely.

Calculate a limit by Riemann lemma

Determining the Convergence of Improper Integral with Given Limit

Is there an easy way to calculate this infinite summation

Improper Integral of $\sqrt{\tan{x}}dx$

For what values of $k$, $t_{0}$, or $x$ is this integral convergent?

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