Question

$\int^{\infty}_1 x^s$ with $s \in \mathbb C$ converges exactly when $\mathcal Re(s)< -1$

score 40 · Answer 1 · 2026-04-16 16:03:49

40

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$\int^{\infty}_1 x^s$ with $s \in \mathbb C$ converges exactly when $\mathcal Re(s)< -1$

Published on 16 Apr 2026 - 16:03

score 1.1k · Answer 2 · 2026-04-09 15:11:58

1.1k

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Convergence of Gamma function defined on complex numbers

Published on 09 Apr 2026 - 15:11

score 72 · Answer 3 · 2026-04-16 05:39:37

72

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calculating $\int_0^{\infty}\frac{1}{(x^2+y)^n}dx$

Published on 16 Apr 2026 - 5:39

score 241 · Answer 4 · 2026-04-15 02:31:22

241

Views

Integral $\int_0^\infty x^ne^{-\frac{x}{a}} dx$

Published on 15 Apr 2026 - 2:31

score 71 · Answer 5 · 2026-04-13 11:06:52

71

Views

A question related to Limit on Improper integral

Published on 13 Apr 2026 - 11:06

score 603 · Answer 6 · 2026-04-16 15:50:07

603

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Prob. 10 (d), Chap. 6, in Baby Rudin: Holder's Inequality for Improper Integrals

Published on 16 Apr 2026 - 15:50

score 310 · Answer 7 · 2026-04-16 04:26:10

310

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Prob. 10 (d), Chap. 6, in Baby Rudin: Holder Inequality for Improper Integrals With Infinite Limits

Published on 16 Apr 2026 - 4:26

score 90 · Answer 8 · 2026-04-17 10:35:04

90

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For what real $\alpha >0$, does $\int_{1}^{\infty}{\frac{1}{\sqrt{x^\alpha-1}}\, dx}$ converge?

Published on 17 Apr 2026 - 10:35

score 91 · Answer 9 · 2026-05-10 19:01:22

91

Views

Laplace Transform of Final integral Function

Published on 10 May 2026 - 19:01

score 251 · Answer 10 · 2026-04-17 13:47:26

251

Views

Evaluate integral: $\int_0^1 \frac{\log^3(1-x)}{x}dx$

Published on 17 Apr 2026 - 13:47

score 125 · Answer 11 · 2026-04-11 16:32:47

125

Views

Luke Skyrunner Improper Integral Problem

Published on 11 Apr 2026 - 16:32

score 522 · Answer 12 · 2026-04-09 16:38:04

522

Views

How to evaluate this integral from -infinity to infinity (improper integral)?

Published on 09 Apr 2026 - 16:38

score 38 · Answer 13 · 2026-04-12 02:06:01

38

Views

For which positive a this integral is convergent?

Published on 12 Apr 2026 - 2:06

score 475 · Answer 14 · 2026-04-15 17:14:28

475

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Can't solve Improper Integral $\int_{0}^{\infty} \frac{\sqrt{x}\sin(x)}{1+x^2} dx$

Published on 15 Apr 2026 - 17:14

score 619 · Answer 15 · 2026-04-23 21:27:09

619

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Compute $\int_{0}^{\infty} \frac{\sqrt{x}\sin(x)}{1+x^2} dx$

Published on 23 Apr 2026 - 21:27

List Question

$\int^{\infty}_1 x^s$ with $s \in \mathbb C$ converges exactly when $\mathcal Re(s)< -1$

Convergence of Gamma function defined on complex numbers

calculating $\int_0^{\infty}\frac{1}{(x^2+y)^n}dx$

Integral $\int_0^\infty x^ne^{-\frac{x}{a}} dx$

A question related to Limit on Improper integral

Prob. 10 (d), Chap. 6, in Baby Rudin: Holder's Inequality for Improper Integrals

Prob. 10 (d), Chap. 6, in Baby Rudin: Holder Inequality for Improper Integrals With Infinite Limits

For what real $\alpha >0$, does $\int_{1}^{\infty}{\frac{1}{\sqrt{x^\alpha-1}}\, dx}$ converge?

Laplace Transform of Final integral Function

Evaluate integral: $\int_0^1 \frac{\log^3(1-x)}{x}dx$

Luke Skyrunner Improper Integral Problem

How to evaluate this integral from -infinity to infinity (improper integral)?

For which positive a this integral is convergent?

Can't solve Improper Integral $\int_{0}^{\infty} \frac{\sqrt{x}\sin(x)}{1+x^2} dx$

Compute $\int_{0}^{\infty} \frac{\sqrt{x}\sin(x)}{1+x^2} dx$

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